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

The largest number which divides 70 and 125 leaving reminders 5 and 8

1.	The largest number which divides 70 and 125 leaving reminders 5 and 8 respectively is, explain?
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 areHCF of ( 70 - 5 ) = 65 and( 125 - 8 ) = 11765 = 5 × 13117 = 3 × 3 × 13HCF ( 65 , 117 ) = 13Required number is 13.