Find the larest umber whichdevi des 7o and 125 leaving remaindersnumbe

1.	Find the larest umber whichdevi des 7o and 125 leaving remaindersnumbex h5 and 8 espestivey
Answer» 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.

Find the larest umber whichdevi des 7o and 125 leaving remaindersnumbex h5 and 8 espestivey

Answer»

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.