Steps to find HCF of 272 and 425 by the division method are as follows:.

1. Divide the larger number by the smaller number:

425 ÷ 272 = 1 with remainder 153

2. Divide the divisor (272) by the remainder (153):

272 ÷ 153 = 1 with remainder 119

3. Divide the previous divisor by the new remainder:

153 ÷ 119 = 1 with remainder 34

119 ÷ 34 = 3 with remainder 17

34 ÷ 17 = 2 with remainder 0

**The last divisor, 17, is the HCF of 272 and 425.**

So, HCF of 272 and 425 is 17.

We will find the HCF of 272 and 425 by the following steps with the division method:

We will divide large number with the smaller one

425 ÷ 272 = 1 having remainder = 153

Further, we will divide divisor value 272 with the remainder.

272 ÷ 153 = 1 having a remainder of 119.

We will divide previous obtained divisor by the remainder now

153 ÷ 119 = 1, remainder = 34

119 ÷ 34 = 3 with a remainder of 17

34 ÷ 17 = 2 with a remainder of 0

The last divisor, 17, is the HCF of 272 and 425.

Hence, HCF of 272 and 425 is 17.