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Question Id : 11198 | Context :NIMCET 2022

Question

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is
🎥 Video solution / Text Solution of this question is given below:
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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