How do you find the GCF of #42a^2b, 6a^2, 18a^3#?

1 Answer
Sridhar V.
Nov 30, 2017

Greatest Common Factor ( GCF ) of the three algebraic expressions given is equal to #color(red) (6a^2)#

Explanation:

The Highest Common Factor (HCF) or the Greatest Common Factor (GCF) of algebraic expressions is obtained in a similar way to the method used for numbers.

Write the factors of #42a^2b = (7*2*3*a*a*b)#
Write the factors of #6a^2 = (2*3*a*a)#
Write the factors of #18a^3 = (2*3*3*a*a*a)#

We observe that the common factors are # (2*3*a*a)#

Hence, GCF = Product of common factors = #color(red)(6a^2)#

I hope this procedure helps.

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