Highest Common Factor of 5544, 4331 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 5544, 4331 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5544, 4331 is 1 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 5544, 4331 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 5544, 4331 is 1.

HCF(5544, 4331) = 1

HCF of 5544, 4331 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 5544, 4331 is 1.

Highest Common Factor of 5544,4331 using Euclid's algorithm

Highest Common Factor of 5544,4331 is 1

Step 1: Since 5544 > 4331, we apply the division lemma to 5544 and 4331, to get

5544 = 4331 x 1 + 1213

Step 2: Since the reminder 4331 ≠ 0, we apply division lemma to 1213 and 4331, to get

4331 = 1213 x 3 + 692

Step 3: We consider the new divisor 1213 and the new remainder 692, and apply the division lemma to get

1213 = 692 x 1 + 521

We consider the new divisor 692 and the new remainder 521,and apply the division lemma to get

692 = 521 x 1 + 171

We consider the new divisor 521 and the new remainder 171,and apply the division lemma to get

521 = 171 x 3 + 8

We consider the new divisor 171 and the new remainder 8,and apply the division lemma to get

171 = 8 x 21 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5544 and 4331 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(171,8) = HCF(521,171) = HCF(692,521) = HCF(1213,692) = HCF(4331,1213) = HCF(5544,4331) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5544, 4331 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 5544, 4331?

Answer: HCF of 5544, 4331 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5544, 4331 using Euclid's Algorithm?

Answer: For arbitrary numbers 5544, 4331 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.