How do you find the greatest common factor of 88, 55?

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How do you find the greatest common factor of 88, 55?

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Answer 1 · 2016-10-28T09:53:11

$:. GCF(88,55)=11$

Explanation:

repeated use of Euclidean Algorithm

$color(red)88=1xxcolor(blue)55+color(green)33$

$color(blue)55=1xxcolor(green)33+color()22$

$color(green)33=1xx22+color(magenta)11$

$22=2xxcolor(magenta)11+0$

last non zero remainder = $11$

$:. GCF(88,55)=11$

Answer 2 · 2016-10-28T10:29:12

GCF = 11

Explanation:

This method uses only $color(blue)"subtraction"$ to find the greatest common factor ( GCF ).

$•" subtract smaller number from larger number"$

$•" Repeat this until a common value is obtained"$

$•" The common value is the GCF"$
$color(blue)"-----------------------------------------"$

$•88" and " 55larrcolor(red)"starting numbers"$

$88-55=33larr" larger subtract smaller"$

$•55" and "33larrcolor(red)" numbers after subtraction"$

$55-33=22larr" larger subtract smaller"$

$•33" and " 22larrcolor(red)" numbers after subtraction"$

$33-22=11larr" larger subtract smaller"$

$•22" and " 11larrcolor(red)" numbers after subtraction"$

$22-11=11larr" larger subtract smaller"$

$•11" and " 11larrcolor(magenta)" common value reached"$

$rArr" GCF of 88 and 55 " =11$

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How do you find the greatest common factor of 88, 55?

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