Highest Common Factor of 8329, 6117 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 8329, 6117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8329, 6117 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 8329, 6117 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 8329, 6117 is 1.

HCF(8329, 6117) = 1

HCF of 8329, 6117 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 8329, 6117 is 1.

Highest Common Factor of 8329,6117 using Euclid's algorithm

Highest Common Factor of 8329,6117 is 1

Step 1: Since 8329 > 6117, we apply the division lemma to 8329 and 6117, to get

8329 = 6117 x 1 + 2212

Step 2: Since the reminder 6117 ≠ 0, we apply division lemma to 2212 and 6117, to get

6117 = 2212 x 2 + 1693

Step 3: We consider the new divisor 2212 and the new remainder 1693, and apply the division lemma to get

2212 = 1693 x 1 + 519

We consider the new divisor 1693 and the new remainder 519,and apply the division lemma to get

1693 = 519 x 3 + 136

We consider the new divisor 519 and the new remainder 136,and apply the division lemma to get

519 = 136 x 3 + 111

We consider the new divisor 136 and the new remainder 111,and apply the division lemma to get

136 = 111 x 1 + 25

We consider the new divisor 111 and the new remainder 25,and apply the division lemma to get

111 = 25 x 4 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 8329 and 6117 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(111,25) = HCF(136,111) = HCF(519,136) = HCF(1693,519) = HCF(2212,1693) = HCF(6117,2212) = HCF(8329,6117) .

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Frequently Asked Questions on HCF of 8329, 6117 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 8329, 6117?

Answer: HCF of 8329, 6117 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8329, 6117 using Euclid's Algorithm?

Answer: For arbitrary numbers 8329, 6117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.