Find the largest no which divides 70 and 125

Asked by admin @ 16/08/2021 in Math viewed by 289 People

The largest no which divides 70 and 125 leaving the reminder 5 and 8 respectively .

Answered by admin @ 16/08/2021

Solution :-

To 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.

a) 70 - 5 = 65

b) 125 - 8 = 117

Now, we will compute the H.C.F. of 65 and 117.

a) 65 b) 117
_______ ________
5 | 65, 3 | 117
|_______ |________
13 | 13 3 | 39
|_______ |________
| 1 13 | 13
| |________
| 1
|

13 is the only common factor of 65 and 117. Hence H.C.F. of 65 and 117 is 13

Therefore, 13 is the largest number which divides 70 and 125 leaving the remainder of 5 and 8 respectively.

Let us check it.

a) 70 ÷ 13
Quotient = 5
Remainder = 5

b) 125 ÷ 13
Quotient = 9
Remainder = 8

Find the largest no which divides 70 and 125

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