Highest Common Factor of 5568, 3722 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5568, 3722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 5568, 3722 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 5568, 3722 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 5568, 3722 is 2.

HCF(5568, 3722) = 2

HCF of 5568, 3722 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 5568, 3722 is 2.

Highest Common Factor of 5568,3722 using Euclid's algorithm

Highest Common Factor of 5568,3722 is 2

Step 1: Since 5568 > 3722, we apply the division lemma to 5568 and 3722, to get

5568 = 3722 x 1 + 1846

Step 2: Since the reminder 3722 ≠ 0, we apply division lemma to 1846 and 3722, to get

3722 = 1846 x 2 + 30

Step 3: We consider the new divisor 1846 and the new remainder 30, and apply the division lemma to get

1846 = 30 x 61 + 16

We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get

30 = 16 x 1 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5568 and 3722 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(1846,30) = HCF(3722,1846) = HCF(5568,3722) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5568, 3722 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 5568, 3722?

Answer: HCF of 5568, 3722 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5568, 3722 using Euclid's Algorithm?

Answer: For arbitrary numbers 5568, 3722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.