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The largest number which divides 70 and 125 leaving reminders 5 and 8 respectively is, explain?

Posted by Frince Frince T Francis 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 8 months ago

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.

2Thank You

ANSWER

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CBSE > Class 10 > Mathematics