Question

What is the GCF of 18a, 20ab and 6ab?

Answer 1

`2a`

Explanation:

Given the set: `18a,20ab,6ab`.

First find the greatest common factor of `18,20,6`.

`18=2*3^2`

`20=2^2*5`

`6=2*3`

`:. \ "GCF"=2`

Then, find the `"GCF"` of `a,ab,ab`.

`a=a`

`ab=a*b`

`:. \ "GCF"=a`

Now, multiply the two `"GCF"`s of the two sets together.

`2*a=2a`

That is the greatest common factor of the whole sequence.

Answer 2

G C F is `color(green)(2 a)`

Explanation:

G C F is the greatest common factor which finds place in all the terms.

`18 a, 20 ab, 6 ab`

`=> 9 * color(green)(2 a), 10 b * color(green)(2 a), 3 b * color(green)(2 a)`

`2 a` is common in all the three terms.

Hence the G C F is `color(green)(2 a)`