what is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectiy ? please answer this question with full explanation and step by step solution ​

Answers 1

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As we know that the largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).

The number will be HCF of 307 – 3 = 304 and 330 – 7 = 323.

∴ Required number = 19

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