Let N be the greatest number that will divide 600, 631 and 724, leaving the same remainder. What is the value of N ?

Explanation

The greatest number N is the HCF of the absolute differences between the numbers: |631 - 600| = 31, |724 - 631| = 93, and |724 - 600| = 124. The HCF of 31, 93, and 124 is 31.

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