Highest Common Factor of 6893, 9641 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 6893, 9641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6893, 9641 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 6893, 9641 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 6893, 9641 is 1.

HCF(6893, 9641) = 1

HCF of 6893, 9641 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 6893, 9641 is 1.

Highest Common Factor of 6893,9641 using Euclid's algorithm

Highest Common Factor of 6893,9641 is 1

Step 1: Since 9641 > 6893, we apply the division lemma to 9641 and 6893, to get

9641 = 6893 x 1 + 2748

Step 2: Since the reminder 6893 ≠ 0, we apply division lemma to 2748 and 6893, to get

6893 = 2748 x 2 + 1397

Step 3: We consider the new divisor 2748 and the new remainder 1397, and apply the division lemma to get

2748 = 1397 x 1 + 1351

We consider the new divisor 1397 and the new remainder 1351,and apply the division lemma to get

1397 = 1351 x 1 + 46

We consider the new divisor 1351 and the new remainder 46,and apply the division lemma to get

1351 = 46 x 29 + 17

We consider the new divisor 46 and the new remainder 17,and apply the division lemma to get

46 = 17 x 2 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 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 6893 and 9641 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(46,17) = HCF(1351,46) = HCF(1397,1351) = HCF(2748,1397) = HCF(6893,2748) = HCF(9641,6893) .

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Frequently Asked Questions on HCF of 6893, 9641 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 6893, 9641?

Answer: HCF of 6893, 9641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6893, 9641 using Euclid's Algorithm?

Answer: For arbitrary numbers 6893, 9641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.