Question

find the largest number which when divides 65 and 83 leaves remainders 5 and 8 respectively.

Answer 1

The largest no. which when divides 65 and i3 leaves remainder 5 and 8 is 15.

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Answer 2

the  largest number is

when divides 65 and 83 leave remainders 5 and 8 respectively

sol-

65-5=60            .............(1)

83-8=75             ..............(2)

HCF  of two numbers

75=60*1+15

60=15*4+0

largest number 15.