Question 79

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

Solution

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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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