{"id":1340,"date":"2024-03-03T20:13:36","date_gmt":"2024-03-03T20:13:36","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=1340"},"modified":"2024-12-26T21:37:23","modified_gmt":"2024-12-26T21:37:23","slug":"common-factor","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/et\/uhistegur\/","title":{"rendered":"\u00dchistegur, suurim \u00fchistegur"},"content":{"rendered":"

\u00dchistegur, suurim \u00fchistegur<\/strong><\/span><\/h1>\r\n

\u00dchistegur<\/b>  on naturaalarv, millega jagub iga antud arv.
\r\nN\u00e4iteks arvude 24 ja 60 \u00fchistegurid on 1, 2, 3, 4, 6 ja 12.
\r\nArvude jagajad on arvud, millega antud arv jagub. <\/p>\r\n

Kui kahel v\u00f5i enamal arvul on samasugused tegurid, siis on neil on \u00fchistegurid<\/span><\/strong>.
\r\n
\r\nAntud arvude suurim \u00fchistegur (S\u00dcT) <\/span><\/strong>o<\/span><\/span>n suurim arv, millega jagub iga antud arv. 
\r\nSuurimat \u00fchistegurit kasutatakse harilike<\/strong> murdude taandamisel.<\/strong><\/p>\r\n

N\u00e4iteks:<\/strong><\/span><\/h5>\r\n

1) Leiame 12 ja 16 \u00fchistegurid ja suurima \u00fchisteguri. <\/strong>
\r\n\u2022 12 tegurid on: 1<\/span>, 2<\/span>, 3, 4<\/span>, 6 ja 12<\/strong>
\r\n\u2022 16 tegurid on: 1,<\/span> 2,<\/span> 4<\/span>, 8 ja 16<\/strong>
\r\nSeega 12 ja 16 \u00fchistegurid on: 1, 2 ja 4
\r\n<\/strong>Arvude 12 ja 16 suurim \u00fchistegur on 4, sest m\u00f5lemad arvud jaguvad arvuga 4 ja see on antud arvude suurim jagaja. 
\r\nS\u00dcT(12;16)=4
\r\n
\r\n<\/span><\/strong><\/p>\r\n

N\u00e4ide:<\/strong><\/span><\/h5>\r\n

Arvude 12, 20, ja 24 \u00fchistegurid on 1, 2 ja 4. <\/p>\r\n

Suurim \u00fchistegur on 4.<\/strong><\/span><\/p>\r\n

S\u00dcT(12, 20, 24) = 4.<\/p>\r\n

Meetod I: arvude tegurite leidmine.<\/strong><\/span><\/p>\r\n

Arvu 12 tegurid on: 1<\/span>, 2<\/span>, 3, 4<\/span>, 6, 12.<\/strong>
\r\nArvu 20 tegurid on: 1,<\/span> 2,<\/span> 4<\/span>, 5, 10, 20.  <\/strong><\/p>\r\n

Arvu  24 tegurid on: 1,<\/span> 2, <\/span>3, 4, <\/span> 6, 8, 12, 24.  <\/strong>
\r\nArvude  12, 20 ja 24 \u00fchised tegurid on: 1, 2 ja 4.<\/strong><\/p>\r\n

Antud arvude suurim \u00fchistegur on 4. <\/span><\/strong><\/p>\r\n

Method II: antud arvude  lahutamine algteguriteks.
\r\n<\/span><\/strong>Suurima \u00fchisteguri leidmiseks tuleb antud arvud lahutada algteguriteks<\/strong> ja leida nende arvude k\u00f5ikide \u00fchiste algtegurite korrutis.<\/strong> <\/span>
\r\n<\/span><\/strong><\/p>\r\n

Arvu 12 algtegurite korrutis: 2<\/strong> \u22c5 2<\/strong><\/span> \u22c5 3<\/p>\r\n

Arvu 20 algtegurite korrutis: 2 \u22c5 2<\/span><\/strong> \u22c5 5<\/p>\r\n

Arvu 24 algtegurite korrutis: 2 \u22c5 2<\/strong><\/span> \u22c5 2 \u22c5 3<\/p>\r\n

\u00dchiste algtegurite korrutis:<\/strong> 2 \u22c5 2 =4,  S\u00dcT(12, 20, 24) =4<\/span><\/strong><\/p>\r\n

 <\/span><\/strong><\/p>\r\n

M\u00e4ngi <\/strong><\/span><\/h5>\r\n
\r\n
\"\"<\/a><\/figure><\/div>\r\n

https:\/\/www.sheppardsoftware.com\/math\/fractions\/greatest-common-factor-game\/<\/a><\/p>\r\n\r\n

 <\/p>\r\n\r\n\r\n

 <\/p>\r\n","protected":false},"excerpt":{"rendered":"

\u00dchistegur, suurim \u00fchistegur \u00dchistegur  on naturaalarv, millega jagub iga antud arv. N\u00e4iteks arvude 24 ja 60 \u00fchistegurid on 1, 2, 3, 4, 6 ja 12. Arvude jagajad on arvud, millega antud arv jagub.  Kui kahel v\u00f5i enamal arvul on samasugused tegurid, siis on neil on \u00fchistegurid. Antud arvude suurim \u00fchistegur (S\u00dcT) on suurim arv, millega […]<\/p>\n

Read More… from \u00dchistegur, suurim \u00fchistegur<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","_uag_custom_page_level_css":"","footnotes":""},"categories":[],"tags":[66,127,73,157],"class_list":["post-1340","page","type-page","status-publish","hentry","tag-english-c","tag-estonian-ue","tag-greek-kappa","tag-spanish-f"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"menu-24x24":false,"menu-36x36":false,"menu-48x48":false},"uagb_author_info":{"display_name":"Ave Kartau","author_link":"https:\/\/domath.surju.ee\/et\/author\/ave\/"},"uagb_comment_info":0,"uagb_excerpt":"\u00dchistegur, suurim \u00fchistegur \u00dchistegur  on naturaalarv, millega jagub iga antud arv. N\u00e4iteks arvude 24 ja 60 \u00fchistegurid on 1, 2, 3, 4, 6 ja 12. Arvude jagajad on arvud, millega antud arv jagub.  Kui kahel v\u00f5i enamal arvul on samasugused tegurid, siis on neil on \u00fchistegurid. Antud arvude suurim \u00fchistegur (S\u00dcT) on suurim arv, millega…","_links":{"self":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/comments?post=1340"}],"version-history":[{"count":6,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1340\/revisions"}],"predecessor-version":[{"id":4991,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1340\/revisions\/4991"}],"wp:attachment":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/media?parent=1340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/categories?post=1340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/tags?post=1340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}