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 = [tex]15 \times jk = 15jk[/tex]
Thus GCF of given pair of monomials is 15jk
