Question

Find the largest number divides 1230 and 1926 leaving reminder 12 in each case

Answer 1

Remove 12 from both numbers.

1230-12=1218, 1926-12=1914

Now, take the factors

1218=2*3*29*7

1914=2*3*29*11

Therefore, the largest no. which divides 1230 and 1926 leaving remainder 9 is 2*3*29=174