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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.
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Deepu Rana 5 years, 6 months ago
2Thank You