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Question

Find the highest positive integer by which dividing the numbers 396,436,542 remainders 5,11&15 respectively.

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Solution

firstly398-7= 391

clearly, the required number is the HCF of the numbers

396-5=391

436-11=425

542-15=527

Find the HCF of 391,425 and 527

HCF of 391,425 and 527 = 17

so the required positive integer is= 17

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