Highest Common Factor of 6337, 8767 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 6337, 8767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6337, 8767 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 6337, 8767 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 6337, 8767 is 1.

HCF(6337, 8767) = 1

HCF of 6337, 8767 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 6337, 8767 is 1.

Highest Common Factor of 6337,8767 using Euclid's algorithm

Highest Common Factor of 6337,8767 is 1

Step 1: Since 8767 > 6337, we apply the division lemma to 8767 and 6337, to get

8767 = 6337 x 1 + 2430

Step 2: Since the reminder 6337 ≠ 0, we apply division lemma to 2430 and 6337, to get

6337 = 2430 x 2 + 1477

Step 3: We consider the new divisor 2430 and the new remainder 1477, and apply the division lemma to get

2430 = 1477 x 1 + 953

We consider the new divisor 1477 and the new remainder 953,and apply the division lemma to get

1477 = 953 x 1 + 524

We consider the new divisor 953 and the new remainder 524,and apply the division lemma to get

953 = 524 x 1 + 429

We consider the new divisor 524 and the new remainder 429,and apply the division lemma to get

524 = 429 x 1 + 95

We consider the new divisor 429 and the new remainder 95,and apply the division lemma to get

429 = 95 x 4 + 49

We consider the new divisor 95 and the new remainder 49,and apply the division lemma to get

95 = 49 x 1 + 46

We consider the new divisor 49 and the new remainder 46,and apply the division lemma to get

49 = 46 x 1 + 3

We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get

46 = 3 x 15 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6337 and 8767 is 1

Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(49,46) = HCF(95,49) = HCF(429,95) = HCF(524,429) = HCF(953,524) = HCF(1477,953) = HCF(2430,1477) = HCF(6337,2430) = HCF(8767,6337) .

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Frequently Asked Questions on HCF of 6337, 8767 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 6337, 8767?

Answer: HCF of 6337, 8767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6337, 8767 using Euclid's Algorithm?

Answer: For arbitrary numbers 6337, 8767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.