The largest number which divides 70 and 125

Asked by admin @ 24/08/2021 in Math viewed by 325 People

Find the largest number which divides 70 and 125 leaving remainders 5 qnd 8 respectively

Answered by admin @ 24/08/2021

Hi ,
__________________________
The largest number by which x , y

divisible and gives the remainder a ,

and b is

the HCF of ( x - a ) and ( y - b)
__________________________

According to the given problem ,

The largest number which divides

70 and 125 leaving remainders 5 and

8 respectively are

HCF of ( 70 - 5 ) = 65 and

( 125 - 8 ) = 117

65 = 5 × 13

117 = 3 × 3 × 13

HCF ( 65 , 117 ) = 13

Required number is 13.

I hope this helps you.

****

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