The greatest number which on dividing 1657 and 2037 leaves a remainder 6 and 5 respectively is

Sub Grade: 9

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271

172

721

127

answer is D.

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Detailed Solution

Required no.= HCF of (1657- 6 ) and (2037- 5)
= HCF of 1651 and 2032
Now consider two prime factor of 1651 = 13X 127
And two prime factor of 2032 = 2X2x2 x127
Common factor between 1651 abd 2032 = 126
Two required n. Is 127

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