Find the largest possible positive integer, Mathematics

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Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively.

(Ans: 17)

Ans: The required number is the HCF of the numbers

Find the HCF of 391, 425 and 527 by Euclid's algorithm

∴ HCF (425, 391) = 17

Now we have to find the HCF of 17 and 527

527 = 17 ? 31 +0

∴ HCF (17,527) = 17

∴ HCF (391, 425 and 527) = 17

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