Question

find the greatest number which divides 245 and 1029 leaving a remainder 5 in each case

Answer 1

Solution : As 5 is remainder in each case, so first subtract 5 from each number.
245 -5 =240 and 1029 -5 = 1024
As we have to find the largest number that means we have to find the GCF of 240 and 1024.

Common factors are 2,2,2,2
So GCF = 16

Answer 2

first subtract 5 from 245 and 1029
then do like this,
1024=240 x 4 + 64
  240=64   x 3 + 48
    64=48   x 1 + 16
    48=16   x 3 + 0
hence,the greatest no. will be 16.