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Question

Find HCF of 72, 108 and 180 by Listing Common Factors.

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Solution

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

There are 9 common factors of 72, 108 and 180, which are 1, 2, 3, 4, 36, 6, 9, 12, 18 and 36.

Therefore, the highest common factor of 72, 108 and 180 is 36.


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