Question

Find the greatest number which divides 245 , 405 , 1029 leaving 5 as the remainder in each case ???
Pls help me .
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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.