Question

find the highest common factor of 76,84,60​

Answer 1

• Answer:
• The prime factorization of 76 is: 2 x 2 x 19.
• The prime factorization of 84 is: 2 x 2 x 3 x 7.
• The prime factors and multiplicities 76 and 84 have in common are: 2 x 2.
• 2 x 2 is the gcf of 76 and 84.

gcf(76,84,60) = 4.

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Answer 2

Answer:

The highest common factor of 76,84,60 is 4.

The factors of 76 are 76, 38, 19, 4, 2, 1.

The factors of 84 are 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1.

The common factors of 76 and 84 are 4, 2, 1, intersecting the two sets above.

In the intersection factors of 76 ∩ factors of 84 the greatest element is 4.

Therefore, the greatest common factor of 76 and 84 is 4.

Similarly we can find for 60.

So the answer is 4.

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