Highest Common Factor of 5406, 9824, 63267 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 5406, 9824, 63267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5406, 9824, 63267 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 5406, 9824, 63267 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 5406, 9824, 63267 is 1.

HCF(5406, 9824, 63267) = 1

HCF of 5406, 9824, 63267 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 5406, 9824, 63267 is 1.

Highest Common Factor of 5406,9824,63267 using Euclid's algorithm

Highest Common Factor of 5406,9824,63267 is 1

Step 1: Since 9824 > 5406, we apply the division lemma to 9824 and 5406, to get

9824 = 5406 x 1 + 4418

Step 2: Since the reminder 5406 ≠ 0, we apply division lemma to 4418 and 5406, to get

5406 = 4418 x 1 + 988

Step 3: We consider the new divisor 4418 and the new remainder 988, and apply the division lemma to get

4418 = 988 x 4 + 466

We consider the new divisor 988 and the new remainder 466,and apply the division lemma to get

988 = 466 x 2 + 56

We consider the new divisor 466 and the new remainder 56,and apply the division lemma to get

466 = 56 x 8 + 18

We consider the new divisor 56 and the new remainder 18,and apply the division lemma to get

56 = 18 x 3 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5406 and 9824 is 2

Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(466,56) = HCF(988,466) = HCF(4418,988) = HCF(5406,4418) = HCF(9824,5406) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 63267 > 2, we apply the division lemma to 63267 and 2, to get

63267 = 2 x 31633 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 63267 is 1

Notice that 1 = HCF(2,1) = HCF(63267,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5406, 9824, 63267 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 5406, 9824, 63267?

Answer: HCF of 5406, 9824, 63267 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5406, 9824, 63267 using Euclid's Algorithm?

Answer: For arbitrary numbers 5406, 9824, 63267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.