Question

find the largest number which divides 245 and 1029 leaving remainder 5 in each case.​

Answer 1

To do this we first have to subtract the reminder from the given numbers-

245-5=240

1029-5=1024

Then we find their HCF.

240=2x2x2x2x3x5

1024=2x2x2x2x2x2x2x2x2x2

The HCF is 16.

hence the number that divides 245 and 1029 leaving a reminder of 5 is 16