Highest Common Factor of 5641, 6209 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 5641, 6209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5641, 6209 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 5641, 6209 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 5641, 6209 is 1.

HCF(5641, 6209) = 1

HCF of 5641, 6209 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 5641, 6209 is 1.

Highest Common Factor of 5641,6209 using Euclid's algorithm

Highest Common Factor of 5641,6209 is 1

Step 1: Since 6209 > 5641, we apply the division lemma to 6209 and 5641, to get

6209 = 5641 x 1 + 568

Step 2: Since the reminder 5641 ≠ 0, we apply division lemma to 568 and 5641, to get

5641 = 568 x 9 + 529

Step 3: We consider the new divisor 568 and the new remainder 529, and apply the division lemma to get

568 = 529 x 1 + 39

We consider the new divisor 529 and the new remainder 39,and apply the division lemma to get

529 = 39 x 13 + 22

We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get

39 = 22 x 1 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5641 and 6209 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(529,39) = HCF(568,529) = HCF(5641,568) = HCF(6209,5641) .

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Frequently Asked Questions on HCF of 5641, 6209 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 5641, 6209?

Answer: HCF of 5641, 6209 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5641, 6209 using Euclid's Algorithm?

Answer: For arbitrary numbers 5641, 6209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.