Question

Find greatest number that will divide 37 and 53 leaving 5 as remainder in each caaase

Answer 1

Given:

The numbers are 37 and 53 which when divided by the greatest number leaves 5 as a remainder in each case

To Find:

The greatest number that will divide 37 and 53 leaving 5 as the remainder in each case

Solution:

(1). We will first subtract the remainder 5 from each given number i.e.,

37 - 5 = 32

53 - 5 = 48

(2). Now, we will find the H.C.F. of 32 and 48 by prime factorization method

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

∴ H.C.F of 32 and 48 = 2 × 2 × 2 × 2 = 16

Thus, the greatest number that will divide 37 and 53 leaving 5 as the remainder in each case is 16.

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Answer 2

the answer is 16 try to solve and then check it