{"id":16920,"date":"2026-05-02T01:05:55","date_gmt":"2026-05-01T19:05:55","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-4\/"},"modified":"2026-05-02T01:05:55","modified_gmt":"2026-05-01T19:05:55","slug":"greatest-divisor-leaving-same-remainder-4","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-4\/","title":{"rendered":"Greatest Divisor Leaving Same Remainder 4"},"content":{"rendered":"<p>Find the greatest number that divides 286, 430, and 574 leaving the same remainder in each case.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>144<\/li>\n<li>2<\/li>\n<li>72<\/li>\n<li>288<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2631,2540],"subject":[1425],"education_level":[1896],"class_list":["post-16920","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-gcd-and-lcm","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"If a divisor leaves the same remainder, it must divide all pairwise differences. GCD of the differences is 144.","mcq_options":[{"right":"yes","answer":"144"},{"right":"no","answer":"2"},{"right":"no","answer":"72"},{"right":"no","answer":"288"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2631,"title":"GCD And LCM","slug":"gcd-and-lcm"},{"id":2540,"title":"Remainders","slug":"remainders"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16920"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16920"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16920"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16920"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}