Highest Common Factor of 5341, 6975 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 5341, 6975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5341, 6975 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 5341, 6975 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 5341, 6975 is 1.

HCF(5341, 6975) = 1

HCF of 5341, 6975 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 5341, 6975 is 1.

Highest Common Factor of 5341,6975 using Euclid's algorithm

Highest Common Factor of 5341,6975 is 1

Step 1: Since 6975 > 5341, we apply the division lemma to 6975 and 5341, to get

6975 = 5341 x 1 + 1634

Step 2: Since the reminder 5341 ≠ 0, we apply division lemma to 1634 and 5341, to get

5341 = 1634 x 3 + 439

Step 3: We consider the new divisor 1634 and the new remainder 439, and apply the division lemma to get

1634 = 439 x 3 + 317

We consider the new divisor 439 and the new remainder 317,and apply the division lemma to get

439 = 317 x 1 + 122

We consider the new divisor 317 and the new remainder 122,and apply the division lemma to get

317 = 122 x 2 + 73

We consider the new divisor 122 and the new remainder 73,and apply the division lemma to get

122 = 73 x 1 + 49

We consider the new divisor 73 and the new remainder 49,and apply the division lemma to get

73 = 49 x 1 + 24

We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get

49 = 24 x 2 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5341 and 6975 is 1

Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(73,49) = HCF(122,73) = HCF(317,122) = HCF(439,317) = HCF(1634,439) = HCF(5341,1634) = HCF(6975,5341) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5341, 6975 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 5341, 6975?

Answer: HCF of 5341, 6975 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5341, 6975 using Euclid's Algorithm?

Answer: For arbitrary numbers 5341, 6975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.