Question

The product of the GCF and LCM of two numbers is 12. Give one possible pair of values for the two numbers

Answer 1

the LCM ≥ GCF

So the only cases to get a product of 12 is:

12 1
6 2
4 3

suppose we have a LCM of 12 and a GCF of 1
how about 12, 1 coming from 3,4

checking:
so the number pair (3,4)
has a LCF of 1 , and a HCM of 12,
product is (1)(12) = 12
looks good!

does 6,2 work?
LCM = 6 ,
GCF = 2 ----> can't think of any

can you think of anything that will make
LCM = 4
GCF = 3 ?

Answer 2

4 and 3

Answer 3

Thanks

Answer 4

Thanks
For everything

Answer 5

thanks it helped me learn how to do it