5.1k views
2 votes
two numbers have these properties, both numbers are greater than 8. Their highest common factor is 8. their lowest common mulitiple is 80

User Adolfo
by
4.2k points

1 Answer

3 votes

Answer:

16 and 40

Explanation:

Hello,

We need to find the factors of 80

1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.

Which can be 2, 2, 2, 2, and 5 (these numbers would go into all the factor completely without any reminder.)

This leaves us with two numbers 2 and 5

If the highest common factor (H.C.F) of both numbers is 8

And the lowest common multiple (L.C.M) = 80

Multiply the numbers by the highest common factor (H.C.F)

2 × 8 = 16

5 × 8 = 40

The numbers are 16 and 40

User Andrea Zonca
by
4.3k points