Question

Find the largest number which dovides 70and 125leaving remainders 5 and8

Answer 1

70 - 5 = 65

125 - 8 = 117

so

H.C.F of 65 and 117 = 13

So no . is 13.

Which is greatest that divides 70 and 125 leaving remainder 5 and 8 respectively.

Answer 2

Here is your answer

$\rule{135}{2}$

The largest number in this question is nothing but HCF [Highest Common Factor]

Firstly, we will subtract 5 from 70 and 8 from 125

70 = 70 - 5 = 65

125 = 125 - 8 = 117

Secondly, we will find the prime factors of the obtained numbers.

65 = 5 * 13

117 = 3 * 3 * 13

Common factors = 13

∴ The largest number which divides 70 and 125 leaving remainders 5 and 8 = 13