Using division method of find the HCF of the following number is 272 425
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**.
