Question

find the greatest number which will divide 625 and 1433 leaving remainders 5 and 3 respectively​

Answer 1

625-5=620.

1433-3=1430.

factor of 620 = 1 2 2 5 31.

factor of 1430 = 1 2 5 11 13.

here we see that 2 and 5 are common in both.

so 5×2=10 is the greatest no. which will divide this.