What is the GCF of 45xy 120yz 135xz Your answer must be a

What is the GCF of 45xy + 120yz - 135xz? (Your answer must be a number)

Solution

Given 45xy + 120yz - 135xz.

Need to find the greatest common factor.

45xy + 120yz - 135xz = 3(15xy + 40yz - 45xz)

= 3*5 (3xy + 8yz - 9xz)

= 15 (3xy + 8yz - 9xz)

Factors of 45xy + 120yz - 135xz are 15 and 3xy + 8yz - 9xz

Therefore, greatest common factor of 45xy + 120yz - 135xz is 15