Question

find the largest number which exactly divides 70 and125 leaving remainders 5 and 8 respectively

Answer 1

 find the largest number which divides 70 and 125 leaving the remainder 5 and 8 respectively, we will have to subtract 5 from 70 and 8 from 125 then we will compute the Highest Common Factor of those two number which we will get after subtracting.

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Answer 2

Since, 5 and 8 are the remainders of 70 and 125, respectively. Thus, after subtracting these remainders from the numbers, we have the numbers 65 = (70-5),
117 = (125 – 8), which is divisible by the required number.
Now, required number = HCF of 65,117                           [for the largest number] 

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