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Question

Find the greatest number that divides each of 180, 225 and 315 completely.

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Solution

Step: Find H.C.F. of 180,225 and 315

The greatest number that divides 180,225 and 315 will be H.C.F. of 180,225 and 315.
By division method,
By division method,

Since the last division is 45,
So, the H.C.F. of 180,225 and 315 is 45.

Hence, the greatest number that divides each of 180,225 and 315 completely is 45.

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