What is the HCF of 399 and 437 by the Division Method?

To find the highest common factor (HCF) of 399 and 437 using the division method, we follow these steps:

1. Divide the larger number by the smaller number. Here, we divide 437 by 399.
2. Perform the division:
• 437 ÷ 399 = 1 with a remainder of 38 (since 437 – 399 = 38).
3. Now, replace 437 with 399 and 399 with the remainder, which is 38.
• 399 ÷ 38 = 10 with a remainder of 19 (since 399 – 38 * 10 = 19).
4. Continue this process with 38 and 19:
• 38 ÷ 19 = 2 with a remainder of 0 (since 38 – 19 * 2 = 0).
5. When we reach a remainder of 0, the divisor at this step is the HCF. Thus, the HCF of 399 and 437 is 19.

To summarize, the steps we followed allowed us to find that the highest common factor of 399 and 437 using the division method is 19.