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Question

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is:
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Solution

The first number = (1657 - 6) = 1651
Second number = (2037 - 5) = 2032
Taking the HCF of two numbers 1651, 2032 we get 127.
So, if we divide 1657 and 2037 by 127 we will get remainders 6 and 5 respectively.

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