Highest Common Factor of 4931, 6832 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 4931, 6832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4931, 6832 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 4931, 6832 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 4931, 6832 is 1.

HCF(4931, 6832) = 1

HCF of 4931, 6832 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4931, 6832 is 1.

Highest Common Factor of 4931,6832 using Euclid's algorithm

Highest Common Factor of 4931,6832 is 1

Step 1: Since 6832 > 4931, we apply the division lemma to 6832 and 4931, to get

6832 = 4931 x 1 + 1901

Step 2: Since the reminder 4931 ≠ 0, we apply division lemma to 1901 and 4931, to get

4931 = 1901 x 2 + 1129

Step 3: We consider the new divisor 1901 and the new remainder 1129, and apply the division lemma to get

1901 = 1129 x 1 + 772

We consider the new divisor 1129 and the new remainder 772,and apply the division lemma to get

1129 = 772 x 1 + 357

We consider the new divisor 772 and the new remainder 357,and apply the division lemma to get

772 = 357 x 2 + 58

We consider the new divisor 357 and the new remainder 58,and apply the division lemma to get

357 = 58 x 6 + 9

We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get

58 = 9 x 6 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 4931 and 6832 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(357,58) = HCF(772,357) = HCF(1129,772) = HCF(1901,1129) = HCF(4931,1901) = HCF(6832,4931) .

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Frequently Asked Questions on HCF of 4931, 6832 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 4931, 6832?

Answer: HCF of 4931, 6832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4931, 6832 using Euclid's Algorithm?

Answer: For arbitrary numbers 4931, 6832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.