{"id":14749,"date":"2014-02-15T19:36:03","date_gmt":"2014-02-15T21:36:03","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=14749"},"modified":"2020-11-02T20:48:23","modified_gmt":"2020-11-02T22:48:23","slug":"algoritmo-de-euclides-para-determinacao-de-mdc-uma-interpretacao-geometrica-do-mdc","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/sala-de-estudos-algoritmo-de-euclides-para-determinacao-de-mdc\/algoritmo-de-euclides-para-determinacao-de-mdc-uma-interpretacao-geometrica-do-mdc\/","title":{"rendered":"Algoritmo de Euclides para determina\u00e7\u00e3o de MDC &#8211; Uma interpreta\u00e7\u00e3o geom\u00e9trica"},"content":{"rendered":"<p style=\"margin:10px \">\n<div style=\"border: 8px double #CDC9C9; padding: 5px;padding-left: 20px; padding-right: 20px;\">\n<p style=\"margin:20px \">\n<p style=\"text-align:center;\"><span style=\"color: #bdb7b7; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 24px;\"><strong>Uma interpreta\u00e7\u00e3o geom\u00e9trica do MDC<br \/>\n<\/strong><\/span><\/p>\n<hr style=\"height:2px; width:95%; background-color:#CDC9C9; margin-top: 8px; margin-bottom: 8px;  border: 0 none\"\/>\n<hr style=\"height:1px; width:85%;background-color:#CDC9C9; margin-top: 10px; margin-bottom:8px;  border: 0 none\"\/>\n<p style=\"margin:30px \">\n<table style=\" height:auto; margin-left: auto; margin-right: auto; width:640px;\">\n<tr>\n<td style=\"border: 1px solid #ffffff\">\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"95\" height=\"115\" \/><\/td>\n<td  style=\"border: 1px solid  #ffffff\">\n<p style=\"text-align: justify;padding: 10px; border-style: dotted;border-color :#1C1C1C; border-width:thin; width:520px; background-color: #EEE9E9;\"><span style=\"color: #616161; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 16px;\"> \u00c9 importante saber calcular o MDC de dois n\u00fameros, e para isso o Algoritmo de Euclides e a Maquineta podem ajud\u00e1-los.<br \/>\nMas \u00e9 igualmente importante voc\u00eas compreenderem <strong>o que significa o MDC de dois n\u00fameros<\/strong>.<br \/>\nVejam abaixo uma atividade com a qual voc\u00eas podem obter uma interpreta\u00e7\u00e3o interessante do MDC.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p style=\"margin:20px \">\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F1.png\" style=\"border: 0px;\"  alt=\"F1\" width=\"717\" height=\"537\" class=\"aligncenter size-full wp-image-14863\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F1.png 717w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F1-300x224.png 300w\" sizes=\"auto, (max-width: 717px) 100vw, 717px\" \/><\/p>\n<hr style=\"height:2px;  background-color:#CDC9C9;margin-top:30px; margin-bottom:8px;  border: 0 none\"\/>\n<hr style=\"height:1px; background-color:#CDC9C9;margin-top:8px; margin-bottom:8px;  border: 0 none\"\/>\n<p style=\"margin:20px \">\n<table style=\" height:auto; margin-left: auto; margin-right: auto;width:348px;\">\n<tr>\n<td style=\"border: 1px solid #ffffff\">\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"95\" height=\"115\" \/><\/td>\n<td  style=\"border: 1px solid  #ffffff\">\n<p style=\"text-align: justify; padding: 10px; border-style: dotted;border-color :#1C1C1C; border-width :thin; width:230px;background-color: #EEE9E9;\"><span style=\"color: #616161; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 16px;\"> E a\u00ed, o que voc\u00eas conclu\u00edram?<br \/>\nConfiram a resposta&#8230;<\/span><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p style=\"margin:20px \">\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F222.png\" style=\"border: 0px;\" alt=\"F222\" width=\"720\" height=\"536\" class=\"aligncenter size-full wp-image-15006\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F222.png 720w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F222-300x223.png 300w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/p>\n<hr style=\"height:2px;  background-color:#CDC9C9;margin-top:30px; margin-bottom:8px;  border: 0 none\"\/>\n<hr style=\"height:1px; background-color:#CDC9C9;margin-top:8px; margin-bottom:8px;  border: 0 none\"\/>\n<p style=\"margin:20px \">\n<table style=\" height:auto; margin-left: auto; margin-right: auto;width:423px;\">\n<tr>\n<td style=\"border: 1px solid #ffffff\">\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"95\" height=\"115\" \/><\/td>\n<td  style=\"border: 1px solid  #ffffff\">\n<p style=\"text-align: justify;padding: 10px; border-style: dotted;border-color :#1C1C1C; border-width :thin; width:300px;background-color: #EEE9E9;\"><span style=\"color: #616161; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 16px;\"> Vejam, em tamanho maior, o ret\u00e2ngulo inicial 38 x 10 dividido nos quadrados definidos pelos n\u00fameros dados pelo Algoritmo de Euclides.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p style=\"margin:20px \">\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F3.png\" style=\"border: 0px;\" alt=\"F3\" width=\"726\" height=\"542\" class=\"aligncenter size-full wp-image-14867\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F3.png 726w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2014\/02\/F3-300x223.png 300w\" sizes=\"auto, (max-width: 726px) 100vw, 726px\" \/><\/p>\n<p style=\"margin:30px \">\n<table style=\" height:auto; margin-left: auto; margin-right: auto; width:610px;\">\n<tr>\n<td style=\"border: 1px solid  #ffffff;\">\n<p style=\"text-align: justify; padding: 10px; border-style: dotted;border-color :#1C1C1C; border-width :thin; width:500px; background-color: #EEE9E9;\"><span style=\"color: #616161; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 16px;\"> Gostei! ! ! !<br \/>\nMuito bacana um processo puramente num\u00e9rico ter uma interpreta\u00e7\u00e3o geom\u00e9trica.<br \/>\nN\u00e3o vamos fazer mais alguns exemplos?<\/span><\/p>\n<\/td>\n<td style=\"border: 1px solid #ffffff\">\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/02\/carinha1-150x150.jpg\" style=\"border: 0px;\"  alt=\"carinha1\" width=\"70\" height=\"70\" class=\"alignleft size-thumbnail wp-image-3063\" \/><\/td>\n<\/tr>\n<\/table>\n<hr style=\"height:2px; width:100%;background-color:#CDC9C9; margin-top: 30px; margin-bottom: 8px;border: 0 none\"\/>\n<hr style=\"height:2px; width:100%;background-color:#CDC9C9; margin-top: 8px; margin-bottom: 8px;border: 0 none\"\/>\n<p style=\"text-align: right;\"><span style=\"color: #bdb7b7;\"><strong>Sonia Regina Di Giacomo<\/strong><br \/>\nEquipe COM &#8211; OBMEP<\/span><\/p>\n<\/div>\n<p style=\"text-align: right;\"><a href=\"http:\/\/clubes.obmep.org.br\/blog\/?p=7507\" title=\"Voltar\"><span style=\"color: #aca6a6;\"><strong>Voltar para a Sala de Estudos sobre o Algoritmo de Euclides<\/strong><\/span><\/a><br \/>\n<a href=\"http:\/\/clubes.obmep.org.br\/blog\/?p=14832\" title=\"Ir\"><span style=\"color: #aca6a6;\"><strong>Ir para a pr\u00f3xima sala<\/strong><\/span><\/a><\/p>\n<table style=\" height:auto; margin-left: auto; margin-right: auto; width:644px;\">\n<tr>\n<td style=\"border: 1px solid #ffffff\">\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"95\" height=\"115\" \/><\/td>\n<td  style=\"border: 1px solid  #ffffff\">\n<p style=\"text-align: justify; border-style: dotted; border-color: #4F94CD; border-width: thin; width: 520px; background-color: #EEE9E9; padding: 10px;\"><span style=\"color: #1c1c1c; font-family: Georgia, Times, 'Times New Roman', serif; font-size: 16px;\">Se voc\u00eas sentiram alguma dificuldade nas salas para o estudo do Algoritmo de Euclides, vejam o material de apoio disponibilizado na pr\u00f3xima sala.<br \/>\n<strong>Bons estudos!<\/strong><\/span><\/p>\n<\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Uma interpreta\u00e7\u00e3o geom\u00e9trica do MDC \u00c9 importante saber calcular o MDC de dois n\u00fameros, e para isso o Algoritmo de Euclides e a Maquineta podem ajud\u00e1-los. Mas \u00e9 igualmente importante voc\u00eas compreenderem o que significa o MDC de dois n\u00fameros. Vejam abaixo uma atividade com a qual voc\u00eas podem obter uma interpreta\u00e7\u00e3o interessante do MDC. &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/sala-de-estudos-algoritmo-de-euclides-para-determinacao-de-mdc\/algoritmo-de-euclides-para-determinacao-de-mdc-uma-interpretacao-geometrica-do-mdc\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":2970,"parent":7507,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-14749","page","type-page","status-publish","has-post-thumbnail","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/14749","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=14749"}],"version-history":[{"count":53,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/14749\/revisions"}],"predecessor-version":[{"id":169123,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/14749\/revisions\/169123"}],"up":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/7507"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media\/2970"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=14749"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}