SRCC GBO 2010 Question Paper

Question 79

The greatest natural number that will divide 13511, 13903, and 14589 and leave the same remainder is

Solution

The greatest natural number that will divide 13511,13903,14589 and leave the same remainder is the HCF of (13903-13511),(14589-13903),(14589-13511) or the HCF of (392,686,1078). This comes out to be 98. Hence the answer is 98

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