Find the largest no. Which divides 70 & 125 leaving remainder 5 & 8

1.	Find the largest no. Which divides 70 & 125 leaving remainder 5 & 8
Answer» The largest number by which x , ydivisible and gives the remainder a ,and b isthe HCF of ( x - a ) and ( y - b)According to the given problem ,The largest number which divides70 and 125 leaving remainders 5 and8 respectively areHCF of ( 70 - 5 ) = 65 and( 125 - 8 ) = 11765 = 5 × 13117 = 3 × 3 × 13HCF ( 65 , 117 ) = 13Required number is 13.

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