Question

Largest number which devides 25,73 and 97 to leave the same remainder in each case

Answer 1

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25 ÷ No. remainder R 
73 ÷ No. remainder R 
97 ÷ No. remainder R 
Rule : GCD is also a factor of sum or differences of numbers 
It means if we subtract remainder R from 25, 73, 97 the numbers obtained after subtraction are divisible by the required number. 
take one of the number common and find difference 
I am taking 37 common 
73 – 25 = 48 
97 – 73 = 24 
GCD of 48 and 24 is is 24 
so required number is 24