What is the GCF of 18a, 20ab and 6ab?

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Answer 1 · 2018-06-28T13:32:30

$2 a$ $2a$

Given the set: $18 a, 20 a b, 6 a b$ $18a,20ab,6ab$ .

First find the greatest common factor of $18, 20, 6$ $18,20,6$ .

$18 = 2 \cdot 3^{2}$ $18=2*3^2$

$20 = 2^{2} \cdot 5$ $20=2^2*5$

$6 = 2 \cdot 3$ $6=2*3$

$:. \ "GCF"=2$

Then, find the $"GCF"$ of $a,ab,ab$ .

$a=a$

$ab=a*b$

$:. \ "GCF"=a$

Now, multiply the two $"GCF"$ s of the two sets together.

$2*a=2a$

That is the greatest common factor of the whole sequence.

Answer 2 · 2018-06-28T13:33:24

G C F is $color(green)(2 a)$

G C F is the greatest common factor which finds place in all the terms.

$18 a, 20 ab, 6 ab$

$=> 9 * color(green)(2 a), 10 b * color(green)(2 a), 3 b * color(green)(2 a)$

$2 a$ is common in all the three terms.

Hence the G C F is $color(green)(2 a)$