Hello,

The HCF of 272 and 425 is 17.

- To calculate the Highest common factor (HCF) of 272 and 425, we need to factor each number

Factors of 272 = 1, 2, 4, 8, 16, 17, 34, 68, 136, 272;

Factors of 425 = 1, 5, 17, 25, 85, 425

Then we choose the highest factor that exactly divides both 272 and 425, i.e., 17

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Hope it helps !

To obtain the HCF of 272 and 425 by the division method, the steps we can follow are given below:

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. **Continue dividing the previous divisor by the new remainder:

153 ÷ 119 = 1 remainder 34

4. **Continue this process until the remainder becomes 0:**

119 ÷ 34 = 3 remainder 17

34 ÷ 17 = 2 remainder 0

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

Therefore the HCF of 272 and 425 is **17**.