1.

Find the greatest number which divides 83, 125 and 209 leaving the same remainder in each case.

Answer»

42



The greatest number which divides THREE dividends p, q and R leaving the same remainder in each case is given by H.C.F(any two of (q - p), (r - p) and (r - q)).

For the given problem, p = 83, q = 125 and r = 209.

Hence the greatest number which divides these three leaving the same remainder in each case is H.C.F(any two of (125 - 83, 209 - 83, 209 - 125) = 42.



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