1. The greatest number that will divide 19,35 and 59 to leave the same remainder in each case is:
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By: anil on 05 May 2019 01.59 am
Let the same remainder in every case be y hence we need to find HCF of 19-y ,35-y and 59- y using difference method , 35 - y - 19 + y = 16 59 - y - 35 + y = 24 HCF of 16 and 24 is 8 hence 8 is the highest number which on dividing 19, 35 and 59 will leave same remainder
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