Highest common factor of 240 and 432

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24-09-2014
Mathematics

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Highest common factor of 240 and 432

Sagot :

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Аноним Аноним · Answer 1 · 2014-09-24T14:30:36-04:00

[tex]240|\fbox2\\120|\fbox2\\.\ 60|\fbox2\\.\ 30|\fbox2\\.\ 15|\fbox3\\.\ \ 5|5\\.\ \ 1|\\240=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3\times5\\============================\\432|\fbox2\\216|\fbox2\\108|\fbox2\\.\ 54|\fbox2\\.\ 27|\fbox3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1|\\432=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3\times3\times3[/tex]

[tex]HCF(240;\ 432)=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3=\fbox{48}[/tex]

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