Highest Common Factor of 6682, 3894, 64343 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 6682, 3894, 64343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6682, 3894, 64343 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 6682, 3894, 64343 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 6682, 3894, 64343 is 1.

HCF(6682, 3894, 64343) = 1

HCF of 6682, 3894, 64343 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 6682, 3894, 64343 is 1.

Highest Common Factor of 6682,3894,64343 using Euclid's algorithm

Highest Common Factor of 6682,3894,64343 is 1

Step 1: Since 6682 > 3894, we apply the division lemma to 6682 and 3894, to get

6682 = 3894 x 1 + 2788

Step 2: Since the reminder 3894 ≠ 0, we apply division lemma to 2788 and 3894, to get

3894 = 2788 x 1 + 1106

Step 3: We consider the new divisor 2788 and the new remainder 1106, and apply the division lemma to get

2788 = 1106 x 2 + 576

We consider the new divisor 1106 and the new remainder 576,and apply the division lemma to get

1106 = 576 x 1 + 530

We consider the new divisor 576 and the new remainder 530,and apply the division lemma to get

576 = 530 x 1 + 46

We consider the new divisor 530 and the new remainder 46,and apply the division lemma to get

530 = 46 x 11 + 24

We consider the new divisor 46 and the new remainder 24,and apply the division lemma to get

46 = 24 x 1 + 22

We consider the new divisor 24 and the new remainder 22,and apply the division lemma to get

24 = 22 x 1 + 2

We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get

22 = 2 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6682 and 3894 is 2

Notice that 2 = HCF(22,2) = HCF(24,22) = HCF(46,24) = HCF(530,46) = HCF(576,530) = HCF(1106,576) = HCF(2788,1106) = HCF(3894,2788) = HCF(6682,3894) .

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

Step 1: Since 64343 > 2, we apply the division lemma to 64343 and 2, to get

64343 = 2 x 32171 + 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 64343 is 1

Notice that 1 = HCF(2,1) = HCF(64343,2) .

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Frequently Asked Questions on HCF of 6682, 3894, 64343 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 6682, 3894, 64343?

Answer: HCF of 6682, 3894, 64343 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6682, 3894, 64343 using Euclid's Algorithm?

Answer: For arbitrary numbers 6682, 3894, 64343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.