Highest Common Factor of 6910, 9427 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 6910, 9427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6910, 9427 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 6910, 9427 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 6910, 9427 is 1.

HCF(6910, 9427) = 1

HCF of 6910, 9427 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 6910, 9427 is 1.

Highest Common Factor of 6910,9427 using Euclid's algorithm

Highest Common Factor of 6910,9427 is 1

Step 1: Since 9427 > 6910, we apply the division lemma to 9427 and 6910, to get

9427 = 6910 x 1 + 2517

Step 2: Since the reminder 6910 ≠ 0, we apply division lemma to 2517 and 6910, to get

6910 = 2517 x 2 + 1876

Step 3: We consider the new divisor 2517 and the new remainder 1876, and apply the division lemma to get

2517 = 1876 x 1 + 641

We consider the new divisor 1876 and the new remainder 641,and apply the division lemma to get

1876 = 641 x 2 + 594

We consider the new divisor 641 and the new remainder 594,and apply the division lemma to get

641 = 594 x 1 + 47

We consider the new divisor 594 and the new remainder 47,and apply the division lemma to get

594 = 47 x 12 + 30

We consider the new divisor 47 and the new remainder 30,and apply the division lemma to get

47 = 30 x 1 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 6910 and 9427 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(594,47) = HCF(641,594) = HCF(1876,641) = HCF(2517,1876) = HCF(6910,2517) = HCF(9427,6910) .

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Frequently Asked Questions on HCF of 6910, 9427 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 6910, 9427?

Answer: HCF of 6910, 9427 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6910, 9427 using Euclid's Algorithm?

Answer: For arbitrary numbers 6910, 9427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.