Question

find the HCF by division method 225,350​

Answer 1

Answer:

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

350 ÷ 225 = 1 + 125;

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

225 ÷ 125 = 1 + 100;

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

125 ÷ 100 = 1 + 25;

Step 4. Divide the remainder from the step 2 by the remainder from the step 3:

100 ÷ 25 = 4 + 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, hcf, gcd (225; 350) = 25