{"id":91088,"date":"2021-02-25T09:22:37","date_gmt":"2021-02-25T08:22:37","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=91088"},"modified":"2022-07-22T15:04:59","modified_gmt":"2022-07-22T14:04:59","slug":"cours-en-ligne-exercices-corriges-pgcd-terminale","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/","title":{"rendered":"Exercices et corrig\u00e9s PGCD"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"85134\" class=\"elementor elementor-85134\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-10da350a elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"10da350a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b0929de sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"4b0929de\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-68eecbf elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"68eecbf\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3c6e4a1c strick_col ae-bg-gallery-type-default\" data-id=\"3c6e4a1c\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5e2a6b8d elementor-widget elementor-widget-heading\" data-id=\"5e2a6b8d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-terminale-maths\/\">Cours en ligne Maths en Terminale<\/a><\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b2d17b9 elementor-widget elementor-widget-heading\" data-id=\"b2d17b9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres Maths en Terminale G\u00e9n\u00e9rale<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4afe09ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4afe09ff\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-recurrence-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Raisonnement et r\u00e9currence<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16c8edd8 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"16c8edd8\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-suites-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Les suites<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3bb57f03 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3bb57f03\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-limites-fonctions-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Les limites<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7b9945a3 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"7b9945a3\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-continuite-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Continuit\u00e9<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-752f886a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"752f886a\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-algorithmique-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Algorithmique<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1446b89c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1446b89c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonction-exponentielle\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions exponentielles<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53f6eff0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53f6eff0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonction-logarithme-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions logarithmes<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6c1ead01 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6c1ead01\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonctions-trigonometriques-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions trigonom\u00e9triques<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2da72d22 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2da72d22\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-conditionnement-independance-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Conditionnement et ind\u00e9pendance<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1bb2d47c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1bb2d47c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-primitives-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Primitives<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2c52a6c9 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2c52a6c9\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-derivees-convexite-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9rivation et convexit\u00e9<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f5a8891 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f5a8891\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-integration-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Calcul int\u00e9gral<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5aaddce0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"5aaddce0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-geometrie-dans-espace-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Figures et \u00e9quation cart\u00e9sienne<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35f6fc16 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"35f6fc16\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21b103a7 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"21b103a7\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-loi-binomiale-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Loi binomiale<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25ac19ad elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"25ac19ad\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-variables-aleatoires-loi-grands-nombres-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Lois des grands nombres<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-84d8e42 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"84d8e42\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-loi-normale-fluctuation-estimation\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Loi normale, intervalles, estimation<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3a67a9f5 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3a67a9f5\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-complexes-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Nombres complexes - alg\u00e8bre<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f63f3f6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1f63f3f6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-polynomes-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">\u00c9quations polynomiales<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-17f1c156 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"17f1c156\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-complexes-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie et complexes<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4d329f92 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4d329f92\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique - Congruences<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fbdca41 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"fbdca41\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pgcd-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique - PGCD PPCM<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ef8cbc elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"8ef8cbc\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-premiers-fermat-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Nombres Premiers et Fermat<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1e7274d4 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1e7274d4\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-matrices-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Matrices<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d362186 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d362186\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-graphes-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Graphes<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e9acc30 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"e9acc30\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-chaine-markov-terminale\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cha\u00eene de Markov<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49866b96 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"49866b96\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center;\">PGCD en terminale : exercices corrig\u00e9s<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pgcd-terminale\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-terminale-maths\/\">Cours en ligne de Maths en Terminale<\/a><\/p>\n<p style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">\n<p style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">Vous devez vous pr\u00e9parez au maximum \u00e0 l&rsquo;\u00e9preuve de math\u00e9matiques en maths expertes. Pour cela, retrouvez ci-dessous les exercices sur le <strong>PGCD en terminale<\/strong>.<\/p>\n<h2 style=\"text-align: justify;\">PGCD : exercice n\u00b01<\/h2>\n<p style=\"text-align: justify;\">Vrai ou faux ?<\/p>\n<ul style=\"text-align: justify;\">\n<li>Si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-90dfe4768bfa5842274340262040a00b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"51\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d765457d0ddab8a9a397a2ca4bd1f567_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-acde60f116a267057e351e2312463f6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#125;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"\/><\/li>\n<li>Soient <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d518677ab6053b53cdc39962961d2bff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#44;&#32;&#97;&#32;&#44;&#32;&#109;&#32;&#44;&#32;&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"110\" style=\"vertical-align: -4px;\"\/> tels que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c441081dc44518624be45d328fbdd63e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#116;&#101;&#120;&#116;&#114;&#109;&#123;&#80;&#71;&#67;&#68;&#125;&#40;&#109;&#32;&#44;&#92;&#44;&#32;&#110;&#41;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"\/>,<br \/>\nsi <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-adb4f962cdb05c823f88fe7aae0782c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"72\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-74246ab3cd4f9156d0b821a17abb8d06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#109;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"77\" style=\"vertical-align: -5px;\"\/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-434496982d70d29df593a17c7b984e78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#109;&#32;&#92;&#44;&#32;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"90\" style=\"vertical-align: -5px;\"\/><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">PGCD codage : exercice n\u00b02<\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">Question 1 :<br \/>\nDans cette question, on choisit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-647e8567b90d20768dd7cde67d6053eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"43\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a4a85d95f0c930fe254f00b0cb7a0103_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;&#32;&#61;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"40\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify;\">a. Par quelle lettre code-t-on le <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-63ada879859a9e41fd935f035b7313bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> ?<\/li>\n<li style=\"text-align: justify;\">b. Citer le th\u00e9or\u00e8me qui permet de justifier l&rsquo;existence de deux entiers relatifs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-43fe27dc3e528266a619764d90fce60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> tels que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-20b5019d59c0ac411976b0b158b8d747_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#117;&#32;&#43;&#50;&#54;&#92;&#44;&#118;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"105\" style=\"vertical-align: -2px;\"\/>.<br \/>\nDonner sans justifier un couple <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d80e05cae41f3ffe7982a8339072e3d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#44;&#32;&#118;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"39\" style=\"vertical-align: -5px;\"\/> qui convient avec <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e69f5561c07ab3ddcf2e592daa80607c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#117;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -3px;\"\/> .<\/li>\n<li>c. D\u00e9montrer que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8fae2602a6babc90277925fc2dd54fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#44;&#120;&#32;&#43;&#50;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/> \u00e9quivaut \u00e0 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fd92a77e46d34105ae2aacc783647870_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#44;&#120;&#39;&#32;&#43;&#50;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"\/>.<\/li>\n<\/ul>\n<\/li>\n<li>Question 2 :<br \/>\nDans cette question, on choisit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a4a85d95f0c930fe254f00b0cb7a0103_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;&#32;&#61;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"40\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est inconnu.<br \/>\nOn sait que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ad28cd88e33b638907ffae49cfe60953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#74;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: 0px;\"\/> est cod\u00e9 par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4b9ef1bbd23fd1b198de883813285620_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/>.<br \/>\nD\u00e9terminer la valeur de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> (on d\u00e9montrera que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est unique).<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"84983\" class=\"elementor elementor-84983\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-51d9c4d elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"51d9c4d\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-610eeeb9 ae-bg-gallery-type-default\" data-id=\"610eeeb9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5bf69eb8 elementor-widget elementor-widget-heading\" data-id=\"5bf69eb8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49568da4 elementor-widget elementor-widget-heading\" data-id=\"49568da4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eb9e0cb elementor-widget elementor-widget-heading\" data-id=\"1eb9e0cb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15c3e28d elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"15c3e28d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1a5c10e7 elementor-widget elementor-widget-text-editor\" data-id=\"1a5c10e7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6913d4fe ae-bg-gallery-type-default\" data-id=\"6913d4fe\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\">PGCD Utilisation de congruences : exercice n\u00b03<\/h2>\n<p style=\"text-align: justify;\">On se propose de d\u00e9terminer l&rsquo;ensemble <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28a59cf043442133c895454f02b9af0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#109;&#97;&#116;&#104;&#99;&#97;&#108;&#123;&#83;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/> des entiers relatifs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> v\u00e9rifiant le syst\u00e8me : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2c91f9a9b031bb775d6502667c620211_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#32;&#92;&#123;&#32;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#109;&#97;&#116;&#114;&#105;&#120;&#125;&#32;&#110;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#49;&#55;&#093;&#92;&#92;&#32;&#110;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#53;&#093;&#32;&#92;&#101;&#110;&#100;&#123;&#109;&#97;&#116;&#114;&#105;&#120;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"90\" style=\"vertical-align: -17px;\"\/><\/p>\n<ul style=\"text-align: justify;\">\n<li>Recherche d&rsquo;un \u00e9l\u00e9ment de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28a59cf043442133c895454f02b9af0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#109;&#97;&#116;&#104;&#99;&#97;&#108;&#123;&#83;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>.<br \/>\nOn d\u00e9signe par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1c4569bb83221eea486464877c34a4b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#32;&#44;&#92;&#44;&#32;&#118;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"42\" style=\"vertical-align: -4px;\"\/> un couple d&rsquo;entiers relatifs tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-093822fbe383f6cf09c33c5d429fd43b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#92;&#44;&#32;&#117;&#32;&#43;&#53;&#92;&#44;&#32;&#118;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"104\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Question 1 :<br \/>\nJustifier l&rsquo;existence d&rsquo;un tel couple <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1c4569bb83221eea486464877c34a4b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#32;&#44;&#92;&#44;&#32;&#118;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"42\" style=\"vertical-align: -4px;\"\/>.<br \/>\nEn donner un avec <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-23718bb21ebc2e280f0e644568e0ab98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#118;&#32;&#60;&#32;&#49;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -3px;\"\/>.<\/li>\n<li>Question 2 :<br \/>\nOn pose <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a4900ecffe04b0a05f518dba50759a34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#61;&#32;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#55;&#92;&#44;&#32;&#117;&#32;&#43;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#92;&#44;&#32;&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"176\" style=\"vertical-align: -3px;\"\/>.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-00b2b65e321e122e8735295685f1bb7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"\/> appartient \u00e0 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28a59cf043442133c895454f02b9af0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#109;&#97;&#116;&#104;&#99;&#97;&#108;&#123;&#83;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/> .<\/li>\n<li>Question 3 :<br \/>\nLes questions pr\u00e9c\u00e9dentes permettent de donner un exemple d&rsquo;entier <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-00b2b65e321e122e8735295685f1bb7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"\/> appartenant \u00e0 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28a59cf043442133c895454f02b9af0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#109;&#97;&#116;&#104;&#99;&#97;&#108;&#123;&#83;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">PGCD suite : exercice n\u00b04<\/h2>\n<p style=\"text-align: justify;\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0ac4880fefe9a4befec4749cd6bb4935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"40\" style=\"vertical-align: -4px;\"\/> la suite num\u00e9rique d\u00e9finie par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff331d628525ef417707b0ea8a275bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: -3px;\"\/> et pour tout entier <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1de7c40f0237d671f03abc336b1e5860_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#117;&#97;&#100;&#32;&#117;&#95;&#123;&#110;&#32;&#43;&#32;&#49;&#125;&#32;&#61;&#32;&#50;&#92;&#44;&#32;&#117;&#95;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Question 1<br \/>\nPour tout entier naturel <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f60964927c2859f073e3d9a9ce2cfe5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-03456a12d9cd528a7496bd99ec6a5e9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"\/> sont premiers entre eux.<\/li>\n<li>Question 2<br \/>\nPour tout entier naturel <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4939a453ea1e8ca110b9bb1c654a7704_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#50;&#94;&#110;&#32;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -3px;\"\/>.<\/li>\n<li>Question 3<br \/>\nPour tous entiers naturels <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> tels que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41c529a1001a97e58c1a653e14cbbec8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#62;&#32;&#112;&#62;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"76\" style=\"vertical-align: -4px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-96c781f66ecba8653bfc2f252df56d4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#117;&#95;&#110;&#32;&#61;&#32;&#117;&#95;&#112;&#32;&#92;&#108;&#101;&#102;&#116;&#32;&#40;&#32;&#117;&#95;&#123;&#110;&#32;&#45;&#32;&#112;&#125;&#32;&#43;&#32;&#49;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#32;&#41;&#32;&#43;&#32;&#117;&#95;&#123;&#110;&#32;&#45;&#32;&#112;&#125;&#92;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" style=\"vertical-align: -6px;\"\/>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<h2 style=\"text-align: justify;\">PGCD : correction exercice n\u00b01<\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">On obtient :<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cd3030b44c6dc955349efdac7d6d410b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#110;&#32;&#92;&#44;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#32;&#125;&#32;&#110;&#32;&#61;&#32;&#110;&#92;&#44;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#32;&#123;&#40;&#50;&#92;&#44;&#32;&#110;&#41;&#33;&#125;&#32;&#123;&#110;&#33;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#110;&#33;&#125;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#32;&#123;&#40;&#50;&#92;&#44;&#32;&#110;&#41;&#33;&#125;&#32;&#123;&#40;&#110;&#32;&#45;&#32;&#49;&#41;&#33;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#110;&#33;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"277\" style=\"vertical-align: -17px;\"\/> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2a153e02396b2672a65e6631f9deac76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#110;&#32;&#92;&#44;&#92;&#98;&#105;&#110;&#111;&#109;&#123;&#50;&#92;&#44;&#110;&#125;&#32;&#110;&#32;&#61;&#32;&#40;&#110;&#32;&#43;&#32;&#49;&#41;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#32;&#123;&#40;&#50;&#92;&#44;&#32;&#110;&#41;&#33;&#125;&#32;&#123;&#40;&#110;&#32;&#45;&#32;&#49;&#41;&#33;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#40;&#110;&#32;&#43;&#32;&#49;&#41;&#33;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"285\" style=\"vertical-align: -17px;\"\/><br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9aabb3c7e460542f781f6e8a779efb69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#110;&#32;&#92;&#44;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#32;&#125;&#32;&#110;&#32;&#61;&#32;&#40;&#110;&#32;&#43;&#32;&#49;&#41;&#32;&#92;&#44;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#32;&#125;&#32;&#123;&#110;&#32;&#45;&#32;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"205\" style=\"vertical-align: -17px;\"\/><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d765457d0ddab8a9a397a2ca4bd1f567_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c6f6b02aa0b42dcda0d673396a8b4444_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#40;&#110;&#32;&#43;&#32;&#49;&#41;&#32;&#92;&#44;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#32;&#125;&#32;&#123;&#110;&#32;&#45;&#32;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"121\" style=\"vertical-align: -17px;\"\/>, donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d765457d0ddab8a9a397a2ca4bd1f567_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3f271291501fad836a22d73bb99146fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#110;&#32;&#92;&#44;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#32;&#125;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"56\" style=\"vertical-align: -17px;\"\/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f6daa7a3042a0dbd6fbab5451ef9e321_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#114;&#109;&#123;&#80;&#71;&#67;&#68;&#125;&#40;&#110;&#32;&#43;&#32;&#49;&#44;&#92;&#44;&#32;&#110;&#41;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"160\" style=\"vertical-align: -5px;\"\/> (relation de Bezout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-437e144fcc74bd55203978b5322e31b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#123;&#40;&#110;&#32;&#43;&#32;&#49;&#41;&#125;&#32;&#43;&#32;&#40;&#45;&#49;&#41;&#92;&#44;&#32;&#110;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"188\" style=\"vertical-align: -5px;\"\/> ),<br \/>\ndonc par le th\u00e9or\u00e8me de Gauss, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d765457d0ddab8a9a397a2ca4bd1f567_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-acde60f116a267057e351e2312463f6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#98;&#105;&#110;&#111;&#109;&#32;&#123;&#50;&#32;&#110;&#125;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"\/>.<\/li>\n<li>Il existe <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-874615e10b570fe7644178b581daef7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-55c8a8c8cdef7a5c6bd8b6070d0466b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#45;&#32;&#97;&#32;&#61;&#32;&#107;&#32;&#92;&#44;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"89\" style=\"vertical-align: 0px;\"\/>,<br \/>\ncomme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9a9531396d0b67187dc86206cce0d920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#45;&#32;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"41\" style=\"vertical-align: 0px;\"\/> , <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-75553243cb0f4cbbb64f0b5a73b445f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#44;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"24\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e7eb9e5d1913bba1c2cf06a5d7b326ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#114;&#109;&#123;&#80;&#71;&#67;&#68;&#125;&#40;&#109;&#32;&#44;&#92;&#44;&#32;&#110;&#41;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"\/>, donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\"\/> par le th\u00e9or\u00e8me de Gauss.On \u00e9crit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b084ff1031598cbb3ba834a04473aaec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#61;&#32;&#107;&#39;&#32;&#92;&#44;&#32;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"66\" style=\"vertical-align: 0px;\"\/> avec <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-58b3387ef5ca247e0fe389af9ad5067f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#39;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: -1px;\"\/>, alors <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-75988277377f4bf46e865f5270cbb9b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#45;&#32;&#97;&#32;&#61;&#32;&#107;&#39;&#32;&#92;&#44;&#32;&#109;&#92;&#44;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"112\" style=\"vertical-align: 0px;\"\/> donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c5665864a83be5d1e924c0e012de2cba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#109;&#32;&#92;&#44;&#32;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"90\" style=\"vertical-align: -5px;\"\/>.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">PGCD : correction exercice n\u00b02<\/h2>\n<ul style=\"text-align: justify;\">\n<li>Question 1 :<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">a) \u00c0 la lettre <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-63ada879859a9e41fd935f035b7313bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, on associe l&rsquo;entier <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f2fe0e941b5c9b98c0e84ecc40468a27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#50;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"\/>. Donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bf53822f934321c2993feba211dcb2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#49;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#32;&#43;&#32;&#50;&#61;&#32;&#49;&#57;&#49;&#32;&#61;&#32;&#50;&#54;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#55;&#32;&#43;&#32;&#57;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#32;&#92;&#59;&#92;&#59;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"300\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a4467d053728d30b1138808021f09bc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#32;&#61;&#32;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"47\" style=\"vertical-align: 0px;\"\/>, ce qui donne la lettre <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ad28cd88e33b638907ffae49cfe60953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#74;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p style=\"text-align: justify;\">b) Les entiers <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e99b7c7ddd421682faf67e5b5f865882_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc1c5ee273f78a117868c9594082c74b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux (<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a1d3ea4963f568cabd97329456036b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> diviseur strict de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e99b7c7ddd421682faf67e5b5f865882_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> ne divise pas 26).<br \/>\nLe th\u00e9or\u00e8me de Bezout affirme qu&rsquo;il existe deux entiers relatifs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-43fe27dc3e528266a619764d90fce60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> tels que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-20b5019d59c0ac411976b0b158b8d747_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#117;&#32;&#43;&#50;&#54;&#92;&#44;&#118;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"105\" style=\"vertical-align: -2px;\"\/>.<br \/>\nIl est \u00e9vident que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-70bfe7e45287f5e6b1c025d006fab7d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#32;&#43;&#32;&#40;&#45;&#49;&#41;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#54;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"\/><br \/>\ndonc le couple <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-97554775a8f317ba6084c6370976d781_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#32;&#44;&#32;&#45;&#32;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"\/> convient.<\/p>\n<p style=\"text-align: justify;\">c) <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> On suppose que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8fae2602a6babc90277925fc2dd54fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#44;&#120;&#32;&#43;&#50;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/>, donc en multipliant par <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a1d3ea4963f568cabd97329456036b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2969c569b7e5d626b0b02ed3f6893085_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#117;&#97;&#100;&#32;&#51;&#92;&#44;&#32;&#120;&#32;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#50;&#55;&#92;&#44;&#120;&#32;&#43;&#54;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"\/><br \/>\ncomme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3206e12bdfa39f422250e91a1e7b6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#55;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"86\" style=\"vertical-align: -5px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8b39a44837ceebece0e3c8d604a0583a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#92;&#44;&#32;&#120;&#32;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#120;&#32;&#43;&#54;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/> donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-86b7c78f1d5f042a5eab69ce2bfcd11e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#44;&#32;&#120;&#32;&#39;&#32;&#45;&#32;&#54;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-45486977cdde4c3fd7ac75eb67cbc05a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#45;&#32;&#54;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"100\" style=\"vertical-align: -5px;\"\/>,<br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3697c6e34ca8e2ac47c3fb070034104f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#51;&#92;&#44;&#120;&#39;&#32;&#43;&#50;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> On suppose que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fd92a77e46d34105ae2aacc783647870_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#44;&#120;&#39;&#32;&#43;&#50;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"\/>.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f6ba68513844d6f9f124fae5ce965e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#32;&#92;&#44;&#32;&#120;&#32;&#39;&#32;&#43;&#32;&#49;&#56;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"187\" style=\"vertical-align: -5px;\"\/>.<br \/>\nComme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3206e12bdfa39f422250e91a1e7b6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#55;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"86\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3a207915eaffb531ac5b60fd19477b2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#56;&#48;&#32;&#61;&#32;&#55;&#92;&#116;&#105;&#109;&#101;&#115;&#50;&#54;&#32;&#45;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"127\" style=\"vertical-align: 0px;\"\/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-00c098ca5818ec13df6f2a53b1e37813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#120;&#32;&#39;&#32;&#45;&#50;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/> soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09f17eb8bd53008875c8080605ede8e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#44;&#32;&#120;&#32;&#43;&#32;&#50;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<p style=\"text-align: justify;\">On a \u00e9tabli l&rsquo;\u00e9quivalence des propri\u00e9t\u00e9s<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8fae2602a6babc90277925fc2dd54fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#44;&#120;&#32;&#43;&#50;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fd92a77e46d34105ae2aacc783647870_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#44;&#120;&#39;&#32;&#43;&#50;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<ul style=\"text-align: justify;\">\n<li>Question 2 :<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Pour <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6021b01a640c14f21899e02b8036d6f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"\/>, on a <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a36b8292cff6421d0eb57d3a9a67d3b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#39;&#32;&#61;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"47\" style=\"vertical-align: 0px;\"\/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ab01708f6c53e210777c66b7df21e20a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#112;&#92;&#44;&#32;&#120;&#32;&#43;&#32;&#50;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"\/><br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-95c85cc3dd967bcc17697e8cf8fbe79c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#44;&#32;&#112;&#32;&#43;&#32;&#50;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"120\" style=\"vertical-align: -5px;\"\/> soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-827a9f56b611e335adf37db0bd027ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#112;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#50;&#54;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"89\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<p style=\"text-align: justify;\">On cherche <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc1c5ee273f78a117868c9594082c74b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2c1a14fcd60b6becabbb69a2207d1e32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#112;&#32;&#45;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/>.<br \/>\nIl est \u00e9vident que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a1d3ea4963f568cabd97329456036b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> convient.<\/p>\n<p style=\"text-align: justify;\">On d\u00e9montre que c&rsquo;est la seule solution<br \/>\nOn cherche <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-efd29967de880ff175b0c118c0508473_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2c1f76c033fce2f4cc595c0cf1105bba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#112;&#32;&#45;&#32;&#49;&#32;&#61;&#32;&#50;&#54;&#92;&#44;&#32;&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"105\" style=\"vertical-align: -4px;\"\/> et on sait que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ec511ecfd724de907f75862147f4453b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#32;&#45;&#32;&#49;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"103\" style=\"vertical-align: 0px;\"\/>.<br \/>\nPar diff\u00e9rence, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3b917a5b005605517b237780199540fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#44;&#32;&#40;&#112;&#32;&#45;&#32;&#51;&#41;&#32;&#61;&#32;&#50;&#54;&#92;&#44;&#32;&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"118\" style=\"vertical-align: -5px;\"\/>, puis comme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc1c5ee273f78a117868c9594082c74b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a1d3ea4963f568cabd97329456036b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux, alors <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc1c5ee273f78a117868c9594082c74b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-33a62d52717597dda1d2655cfc3e8ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#45;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"41\" style=\"vertical-align: -4px;\"\/> (Gauss), il existe <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-808ac7508e99e787177d186f23e49ff4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#39;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-998502624217188a261395c9af842b42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#51;&#32;&#43;&#32;&#50;&#54;&#32;&#92;&#44;&#107;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"99\" style=\"vertical-align: -4px;\"\/> et comme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-43c135ca767dc6cabf014a34dc34e98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#112;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"\/>, alors <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5b9a35a3a5776494e6c7c53095d1743c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#39;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"47\" style=\"vertical-align: 0px;\"\/> et donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2171d0b78a37822e93d5572a677ebcdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"43\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<p style=\"text-align: justify;\">On peut v\u00e9rifier que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-353f0413957760772bfd1e79aa6b56b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#57;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#32;&#43;&#32;&#50;&#32;&#61;&#32;&#50;&#54;&#32;&#43;&#32;&#51;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#32;&#92;&#59;&#92;&#59;&#091;&#50;&#54;&#32;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"211\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ad28cd88e33b638907ffae49cfe60953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#74;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: 0px;\"\/> est bien cod\u00e9 en <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4b9ef1bbd23fd1b198de883813285620_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<h2 style=\"text-align: justify;\">PGCD utilisation de congruences : correction exercice n\u00b03<\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">Question 1 :<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b976c8c10558ac50c42d953f3ee38707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8995e2084120c1c1f4b53f490d281bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux, le th\u00e9or\u00e8me de Bezout affirme l&rsquo;existence de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d77dba1b613fd36e2834f94d489b3fc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#32;&#44;&#92;&#44;&#32;&#118;&#41;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"84\" style=\"vertical-align: -5px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-093822fbe383f6cf09c33c5d429fd43b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#92;&#44;&#32;&#117;&#32;&#43;&#53;&#92;&#44;&#32;&#118;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"104\" style=\"vertical-align: -2px;\"\/>.<br \/>\nOn peut remarquer que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1cef8238e760d7593d7cad07139ab922_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#117;&#97;&#100;&#32;&#53;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#55;&#32;&#45;&#32;&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#55;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"141\" style=\"vertical-align: 0px;\"\/><br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e45fbae89f0c3131f08ae60abdca02b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#32;&#61;&#32;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cbedeac458bd58e0e83029941e8f4f8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#32;&#61;&#32;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> conviennent. Si l&rsquo;on n&rsquo;a pas l&rsquo;intuition, il faut utiliser la remont\u00e9e de l&rsquo;algorithme d&rsquo;Euclide :<br \/>\n(1) <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2eca7d1c04150ca95075a5e190514646_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#32;&#61;&#32;&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#32;&#43;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"109\" style=\"vertical-align: -2px;\"\/><br \/>\n(2) <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-776d714069d7d5abb56d9e6c8481221a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#32;&#61;&#32;&#50;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"102\" style=\"vertical-align: -2px;\"\/><br \/>\ndonc par (2) : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-95f37a01b15a6352221023e88f5cccf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#61;&#32;&#53;&#32;&#45;&#50;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#98;&#111;&#120;&#101;&#100;&#123;&#32;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"113\" style=\"vertical-align: -6px;\"\/><br \/>\net par (1) : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-44d9f7544e16f050f862cf673dda67ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#61;&#32;&#53;&#32;&#45;&#32;&#50;&#92;&#44;&#32;&#40;&#49;&#55;&#32;&#45;&#32;&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"\/><br \/>\nsoit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d57d064bd19b331fdb64dc04c7d32f5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#61;&#32;&#49;&#55;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#40;&#45;&#50;&#41;&#32;&#43;&#32;&#53;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"\/> .<\/li>\n<li>Question 2 :On suppose que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a4900ecffe04b0a05f518dba50759a34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#61;&#32;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#55;&#92;&#44;&#32;&#117;&#32;&#43;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#92;&#44;&#32;&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"176\" style=\"vertical-align: -3px;\"\/>.<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ef6d064243fe19dcb95fb78ee590f2d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#92;&#44;&#32;&#118;&#92;&#59;&#92;&#59;&#32;&#091;&#49;&#55;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"129\" style=\"vertical-align: -5px;\"\/>.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b084c52d6cc83d5ec459b8b2f5e7d978_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#40;&#49;&#32;&#45;&#32;&#49;&#55;&#32;&#92;&#44;&#32;&#117;&#41;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#49;&#55;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" style=\"vertical-align: -5px;\"\/><br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a1f65a05095d2d281fa3d837702656e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#57;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#49;&#55;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"87\" style=\"vertical-align: -5px;\"\/>.<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bf99831623ce46ba8e6c2e1c27410a94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#55;&#92;&#44;&#32;&#117;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#53;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"130\" style=\"vertical-align: -5px;\"\/>.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fe89f585e5acb58ba8dd35ccd44f0f5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#40;&#49;&#32;&#45;&#32;&#53;&#32;&#92;&#44;&#32;&#117;&#41;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#53;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"\/><br \/>\ndonc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff3fcaf4a2eb6f37e82ddc4f79b76325_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#51;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#53;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"78\" style=\"vertical-align: -5px;\"\/>.<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-00b2b65e321e122e8735295685f1bb7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"\/> appartient \u00e0 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-28a59cf043442133c895454f02b9af0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#109;&#97;&#116;&#104;&#99;&#97;&#108;&#123;&#83;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>.<\/li>\n<li>Question 3 : Comme on avait vu que l&rsquo;on pouvait choisir <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6e9e4adbdb945bcf30e587f1c6d2be1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#32;&#61;&#32;&#45;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cbedeac458bd58e0e83029941e8f4f8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#32;&#61;&#32;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/><br \/>\nalors <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-254075aff9fca85a14d2adeb343614b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#95;&#32;&#48;&#32;&#61;&#32;&#45;&#32;&#51;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#55;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#32;&#43;&#32;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#55;&#32;&#61;&#32;&#50;&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"277\" style=\"vertical-align: -3px;\"\/>.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"127774\" class=\"elementor elementor-127774\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-5a7b6a2a elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"5a7b6a2a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-749af387 ae-bg-gallery-type-default\" data-id=\"749af387\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b4ed465 elementor-widget elementor-widget-heading\" data-id=\"1b4ed465\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS PARTICULIERS EN LIGNE<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16d47760 elementor-widget elementor-widget-heading\" data-id=\"16d47760\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons s\u00e9lectionn\u00e9 pour vous les meilleurs professeurs particuliers.<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21a162bf elementor-widget elementor-widget-heading\" data-id=\"21a162bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5600477e elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"5600477e\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-en-ligne\/toutes-matieres\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers en ligne<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c7a7876 elementor-widget elementor-widget-text-editor\" data-id=\"1c7a7876\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2aa12288 ae-bg-gallery-type-default\" data-id=\"2aa12288\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">Retrouvez le reste des exercices sur le <strong>PGCD en terminale<\/strong> sur notre application Prepapp. Vous retrouverez d&rsquo;autres exercices corrig\u00e9s en ligne sur notre site pour r\u00e9viser les chapitres au programme des math\u00e9matiques expertes \u00a0:<\/p>\n<ul>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-premiers-fermat-terminale\/\">arithm\u00e9tique &#8211; nombres premiers et Fermat<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-matrices-terminale\/\">matrices<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-graphes-terminale\/\">graphes<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-chaine-markov-terminale\/\">cha\u00eene de Markov<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-complexes-terminale\/\">nombres complexes : alg\u00e8bre<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>PGCD en terminale : exercices corrig\u00e9s R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne de Maths en Terminale Vous devez vous pr\u00e9parez au maximum \u00e0 l&rsquo;\u00e9preuve de math\u00e9matiques en maths expertes. Pour cela, retrouvez ci-dessous les exercices sur le PGCD en terminale. PGCD : exercice n\u00b01 Vrai ou faux ? Si , divise Soient [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>PGCD en terminale : exercices corrig\u00e9s en ligne gratuits<\/title>\n<meta name=\"description\" content=\"Exercices et corrig\u00e9s gratuits sur le PGCD en terminale : utilisation des congruence, codage, suites et PGCD etc...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PGCD en terminale : exercices corrig\u00e9s en ligne gratuits\" \/>\n<meta property=\"og:description\" content=\"Exercices et corrig\u00e9s gratuits sur le PGCD en terminale : utilisation des congruence, codage, suites et PGCD etc...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-22T14:04:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png\" \/>\n\t<meta property=\"og:image:width\" content=\"170\" \/>\n\t<meta property=\"og:image:height\" content=\"180\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\",\"name\":\"PGCD en terminale : exercices corrig\u00e9s en ligne gratuits\",\"isPartOf\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\"},\"datePublished\":\"2021-02-25T08:22:37+00:00\",\"dateModified\":\"2022-07-22T14:04:59+00:00\",\"description\":\"Exercices et corrig\u00e9s gratuits sur le PGCD en terminale : utilisation des congruence, codage, suites et PGCD etc...\",\"breadcrumb\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-pgcd-terminale\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/groupe-reussite.fr\/ressources\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exercices et corrig\u00e9s PGCD\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/\",\"name\":\"Groupe R\u00e9ussite - 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