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Find the greatest number which on dividing 1543 and 2125 leaves remainder 6 and 5 respectively.

Find the greatest number which on dividing 1543 and 2125 leaves remainder 6 and 5 respectively. Correct Answer 53

The greatest number that will divide a, b and c leaving remainders x, y and z respectively = HCF (a-x, b-y and c-z). Therefore, the greatest number which on dividing 1543 and 2125 leaves remainder 6 and 5 respectively = HCF (1543-6, 2125-5) = HCF (1537, 2120) = 53.

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