Question

How do you find the GCF of `12qr, 8r^2, 16rt`?

Answer 1

See a solution process below:

Explanation:

First, factor each individual term:

`12qr = 2 xx 2 xx 3 xx q xx r`

`8r^2 = 2 xx 2 xx 2 xx r xx r`

`16rt = 2 xx 2 xx 2 xx 2 xx r xx t`

Next, identify the common terms in each:

`12qr = color(red)(2) xx color(red)(2) xx 3 xx q xx color(red)(r)`

`8r^2 = color(red)(2) xx color(red)(2) xx 2 xx color(red)(r) xx r`

`16rt = color(red)(2) xx color(red)(2) xx 2 xx 2 xx color(red)(r) xx t`

Combine these common factors by multiplying:

`color(red)(2) xx color(red)(2) xx color(red)(r) = 4r`

The GCF of the three terms is `color(red)(4r)`