Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then the sum of the digits in N is?

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Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then the sum of the digits in N is?

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Íśħăń Śăŕĸăŕ · Answer 1 · 2021-12-08T11:10:56+0000

The given numbers are 1305, 4665 and 6905. We have to find the greatest number N that will divide 1305, 4665 and 6905 leaving the same remainder. The greatest number N is the H.C.F of (4665–1305), (6905–4665) and (6905–1305). So the greatest number N is theH.C.F of 3360, 2240 and 5600leaving the same remainder.

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Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then the sum of the digits in N is?

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