Use Euclid’s division algorithm to find HCF of 399 and 56

To find the highest common factor (HCF) of 399 and 56 using Euclid’s division algorithm, we follow a systematic approach involving division and remainders.

Step-by-Step Process

1. Initial Division

First, divide the larger number (399) by the smaller number (56):

399 ÷ 56 = 7 with a remainder of 7.

2. Apply the Algorithm

Next, replace the larger number with the smaller number and the smaller number with the remainder:

Now, divide 56 by 7:

56 ÷ 7 = 8 with a remainder of 0.

3. Determine the HCF

Since the remainder is now 0, the last non-zero remainder is the HCF. Thus, the HCF of 399 and 56 is:

7.

Summary

The highest common factor of 399 and 56, found using Euclid’s division algorithm, is 7.