The product of two numbers is 180. The LCM of the two numbers is 60. What is the GCF of the two numbers? How do you know?

Answer 1

nice question

the possible 2 numbers were
1 180
2 90
3 60
4 45
5 36
6 30
9 20
12 15

of those only the 3 60 pair has a LCM of 60
the GCF of the pair is 3

Answer 2

The LCM of two numbers is 60. If the product of the two numbers is 180, find their HCF

Answer 3

We know that,
LCM(a,b) X HCF(a,b) = Product of a and b
Therefore, 60 X HCF(a,b) = 180
= HCF(a,b) = 3
Therefore HCF of the two numbers is 3
Hope it helped =)