Find the largest number which will divide 415, 756 and 1035 leaves the remainder same in each case.
Answer & explanation
Correct answer: option 2
We need to find the HCF of: (756 - 415) and (1035 - 756) = 341 , 279
⇒ HCF of 341 and 279 = 31
Therefore, 31 is the largest number which will divide 415, 756 and 1035 and leaves the same remainder in each case.