Question

The LCM of 8 and 60 is 120. Find their HCF.

Answer 1

Answer:

HCF of 8 and 120 is 4.

The gcf of 8 and 60 can be obtained like this:

1. The factors of 8 are 8, 4, 2, 1.
2. The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.
3. The common factors of 8 and 60 are 4, 2, 1, intersecting the two sets above.
4. In the intersection factors of 8 ∩ factors of 60 the greatest element is 4.
5. Therefore, the greatest common factor of 8 and 60 is 4.

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