Highest Common Factor of 6191, 9739 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 6191, 9739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6191, 9739 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 6191, 9739 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 6191, 9739 is 1.

HCF(6191, 9739) = 1

HCF of 6191, 9739 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 6191, 9739 is 1.

Highest Common Factor of 6191,9739 using Euclid's algorithm

Highest Common Factor of 6191,9739 is 1

Step 1: Since 9739 > 6191, we apply the division lemma to 9739 and 6191, to get

9739 = 6191 x 1 + 3548

Step 2: Since the reminder 6191 ≠ 0, we apply division lemma to 3548 and 6191, to get

6191 = 3548 x 1 + 2643

Step 3: We consider the new divisor 3548 and the new remainder 2643, and apply the division lemma to get

3548 = 2643 x 1 + 905

We consider the new divisor 2643 and the new remainder 905,and apply the division lemma to get

2643 = 905 x 2 + 833

We consider the new divisor 905 and the new remainder 833,and apply the division lemma to get

905 = 833 x 1 + 72

We consider the new divisor 833 and the new remainder 72,and apply the division lemma to get

833 = 72 x 11 + 41

We consider the new divisor 72 and the new remainder 41,and apply the division lemma to get

72 = 41 x 1 + 31

We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get

41 = 31 x 1 + 10

We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get

31 = 10 x 3 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6191 and 9739 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(72,41) = HCF(833,72) = HCF(905,833) = HCF(2643,905) = HCF(3548,2643) = HCF(6191,3548) = HCF(9739,6191) .

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Frequently Asked Questions on HCF of 6191, 9739 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 6191, 9739?

Answer: HCF of 6191, 9739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6191, 9739 using Euclid's Algorithm?

Answer: For arbitrary numbers 6191, 9739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.