Highest Common Factor of 6119, 5640 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 6119, 5640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6119, 5640 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 6119, 5640 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 6119, 5640 is 1.

HCF(6119, 5640) = 1

HCF of 6119, 5640 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 6119, 5640 is 1.

Highest Common Factor of 6119,5640 using Euclid's algorithm

Highest Common Factor of 6119,5640 is 1

Step 1: Since 6119 > 5640, we apply the division lemma to 6119 and 5640, to get

6119 = 5640 x 1 + 479

Step 2: Since the reminder 5640 ≠ 0, we apply division lemma to 479 and 5640, to get

5640 = 479 x 11 + 371

Step 3: We consider the new divisor 479 and the new remainder 371, and apply the division lemma to get

479 = 371 x 1 + 108

We consider the new divisor 371 and the new remainder 108,and apply the division lemma to get

371 = 108 x 3 + 47

We consider the new divisor 108 and the new remainder 47,and apply the division lemma to get

108 = 47 x 2 + 14

We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get

47 = 14 x 3 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6119 and 5640 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(108,47) = HCF(371,108) = HCF(479,371) = HCF(5640,479) = HCF(6119,5640) .

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Frequently Asked Questions on HCF of 6119, 5640 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 6119, 5640?

Answer: HCF of 6119, 5640 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6119, 5640 using Euclid's Algorithm?

Answer: For arbitrary numbers 6119, 5640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.