Find the HCF of the following pairs of numbers: 56 and 88

Introduction

In this problem, we are required to find the Highest Common Factor (HCF) of the numbers 56 and 88 using Euclid’s Division Algorithm.

Video Solution

Question

Find the HCF of the following pairs of numbers: 56 and 88.

Solution

We use Euclid’s Division Algorithm to find the HCF.

Step 1: Divide 88 by 56.

88 = 56 × 1 + 32

Step 2: Divide 56 by 32.

56 = 32 × 1 + 24

Step 3: Divide 32 by 24.

32 = 24 × 1 + 8

Step 4: Divide 24 by 8.

24 = 8 × 3 + 0

Since the remainder is now 0, the divisor at this stage is the HCF.

Therefore, the HCF of 56 and 88 is 8.

Conclusion

Hence, the Highest Common Factor (HCF) of the numbers 56 and 88 is 8.

Hence proved.