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

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Answer 1 · 2017-07-12T20:13:32

See a solution process below:

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 $color(red)(4r)$

How do you find the GCF of 12qr, 8r^2, 16rt12qr, 8r^2, 16rt?