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60jk, 45jkm Find the GCF of each pair of monomials

User Chisholm
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GCF of given pair of monomials 60jk and 45jkm is 15jk

Solution:

Given that we have to find GCF of each pair of monomials

Given pair of monomials are 60jk and 45jkm

Since 60jk and 45jkm contains both numbers and variables, there are two steps to find the GCF

Find GCF for the numeric part and then find GCF for the variable part and then multiply the result together

To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

The factors of 60 are:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 45 are:

1, 3, 5, 9, 15, 45

Then the greatest common factor is 15

Find GCF for the variable part:

The GCF of jk and jkm is jk

The GCF of 60jk and 45jkm is:

GCF of 60jk and 45jkm =
15 * jk = 15jk

Thus GCF of given pair of monomials is 15jk

User Shendor
by
7.9k points

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