Question

How do you find the GCF of `10a, 20a^2, 25a`?

Answer 1

See the entire solution process below:

Explanation:

To find the GCF of the three terms we need to first factor each of the terms separately:

`10a = 2 xx 5 xx a`

`20a = 2 xx 2 xx 5 xx a xx a`

`25a = 5 xx 5 xx a`

The common terms are:

`10a = 2 xx color(red)(5) xx color(red)(a)`

`20a = 2 xx 2 xx color(red)(5) xx color(red)(a) xx a`

`25a = 5 xx color(red)(5) xx color(red)(a)`

Therefore, the GCF is `5a`