How do you find the gcf of $8a^2b + 4ab - 12ab^2$ ?

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Answer 1 · 2015-07-01T02:26:40

Find the largest number and highest degree of each variable that can be divided evenly into the expression.

$8a^2b+4ab-12ab^2$

Largest number = $4$
Highest degree of $a$ = $a$
Highest degree of $b$ = $b$

Multiply the results to get the GCF of $4ab$ .

Factor out $4ab$ .

$4ab(2a+1-3b)$

Answer 2 · 2015-07-01T02:28:36

gcf (Greatest Common Factor) of $8a^2b+4ab−12ab^2$ is $4ab$

Factoring each term independently:
$8a^2b = 2xx2xx2xxaxxaxxb$
$4ab= 2xx2xxaxxb$
$12ab^2 = 2xx2xx3xxaxxbxxb$

Extracting the factors common to all three terms:
$2xx2xxaxxb = 4ab$

How do you find the gcf of 8a^2b + 4ab - 12ab^28a^2b + 4ab - 12ab^2?