Question

find the greatest number such that if 245 and 1029 be divided by it the remainder in each case is 5?​

Answer 1

Answer:

It is given that required number which divides 245 and 1029, the remainder is 5 in each case. ⇒ 245 - 5 = 240 and 1029 - 5 = 1024 are completely divisible by the required number. Since, it is given that the required number is the largest number. Therefore, it is the HCF of 240 and 1024.