Question

Find the largest number Which divides 70and 125 leaving remainder 5 and 8 respectively

Answer 1

to find the number we need to first sbtract the remainders from nubers to make them completely divisible

70-5 = 65 125-8 = 117 ; now we shall take HCF

117 = 65 x 1 + 52

65 = 52 x 1 + 13

52 = 13 x 4 + 0

therefore, HCF is 13 ....

This means 13 is the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively

Answer 2

1st number =70

Remainder=5

No. Formed = 65

2nd number = 125

Remainder= 8

Number formed is 117

Prime factors of 65 are 5*13

Prime factors of 117 are 3*3*13

The common factor is 13

So the largest number which divides ----------- is 13