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

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Answer 1 · 2018-06-28T13:32:30

#2a#

Given the set: #18a,20ab,6ab#.

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

#18=2*3^2#

#20=2^2*5#

#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) #