Question

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

Answer 1

`:. 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

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`