Answer :

Final answer:

The H.C.F. of 84 and 216 is 6.

Explanation:

To find the H.C.F. of 84 and 216, we need to factorize both numbers.

84 = 2 x 2 x 3 x 7

216 = 2 x 2 x 2 x 3 x 3 x 3


The common factors between 84 and 216 are 2 and 3.

To find the highest common factor (H.C.F.), we select the lowest power of each common factor:

2 x 3 = 6

Therefore, the H.C.F. of 84 and 216 is 6.

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