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

1 Answer
Jul 12, 2017

Answer:

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)#