Highest Common Factor of 8931, 6434 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 8931, 6434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8931, 6434 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 8931, 6434 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 8931, 6434 is 1.

HCF(8931, 6434) = 1

HCF of 8931, 6434 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 8931, 6434 is 1.

Highest Common Factor of 8931,6434 using Euclid's algorithm

Highest Common Factor of 8931,6434 is 1

Step 1: Since 8931 > 6434, we apply the division lemma to 8931 and 6434, to get

8931 = 6434 x 1 + 2497

Step 2: Since the reminder 6434 ≠ 0, we apply division lemma to 2497 and 6434, to get

6434 = 2497 x 2 + 1440

Step 3: We consider the new divisor 2497 and the new remainder 1440, and apply the division lemma to get

2497 = 1440 x 1 + 1057

We consider the new divisor 1440 and the new remainder 1057,and apply the division lemma to get

1440 = 1057 x 1 + 383

We consider the new divisor 1057 and the new remainder 383,and apply the division lemma to get

1057 = 383 x 2 + 291

We consider the new divisor 383 and the new remainder 291,and apply the division lemma to get

383 = 291 x 1 + 92

We consider the new divisor 291 and the new remainder 92,and apply the division lemma to get

291 = 92 x 3 + 15

We consider the new divisor 92 and the new remainder 15,and apply the division lemma to get

92 = 15 x 6 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 8931 and 6434 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(92,15) = HCF(291,92) = HCF(383,291) = HCF(1057,383) = HCF(1440,1057) = HCF(2497,1440) = HCF(6434,2497) = HCF(8931,6434) .

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Frequently Asked Questions on HCF of 8931, 6434 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 8931, 6434?

Answer: HCF of 8931, 6434 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8931, 6434 using Euclid's Algorithm?

Answer: For arbitrary numbers 8931, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.