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.

Related questions
See all questions in Monomial Factors of Polynomials
Impact of this question
2247 views around the world
You can reuse this answer
Creative Commons License