Question

find the greatest number which leaves number remainder when it divide 275 and 525​

Answer 1

Answer:

Step 1. Divide the larger number by the smaller one:

525 ÷ 275 = 1 + 250;

Step 2. Divide the smaller number by the above operation's remainder:

275 ÷ 250 = 1 + 25;

Step 3. Divide the remainder from the step 1 by the remainder from the step 2:

250 ÷ 25 = 10 + 0;

At this step, the remainder is zero, so we stop:

25 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Greatest (highest) common factor (divisor):

gcf, gcd (275; 525) = 25.