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Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

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Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

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Required number = H.C.F. of (132 - 62), (237 - 132) and (237 - 62) 

= H.C.F. of 70, 105 and 175 = 35.

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