Highest Common Factor of 4970, 6729 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 4970, 6729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4970, 6729 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 4970, 6729 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 4970, 6729 is 1.

HCF(4970, 6729) = 1

HCF of 4970, 6729 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 4970, 6729 is 1.

Highest Common Factor of 4970,6729 using Euclid's algorithm

Highest Common Factor of 4970,6729 is 1

Step 1: Since 6729 > 4970, we apply the division lemma to 6729 and 4970, to get

6729 = 4970 x 1 + 1759

Step 2: Since the reminder 4970 ≠ 0, we apply division lemma to 1759 and 4970, to get

4970 = 1759 x 2 + 1452

Step 3: We consider the new divisor 1759 and the new remainder 1452, and apply the division lemma to get

1759 = 1452 x 1 + 307

We consider the new divisor 1452 and the new remainder 307,and apply the division lemma to get

1452 = 307 x 4 + 224

We consider the new divisor 307 and the new remainder 224,and apply the division lemma to get

307 = 224 x 1 + 83

We consider the new divisor 224 and the new remainder 83,and apply the division lemma to get

224 = 83 x 2 + 58

We consider the new divisor 83 and the new remainder 58,and apply the division lemma to get

83 = 58 x 1 + 25

We consider the new divisor 58 and the new remainder 25,and apply the division lemma to get

58 = 25 x 2 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4970 and 6729 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(58,25) = HCF(83,58) = HCF(224,83) = HCF(307,224) = HCF(1452,307) = HCF(1759,1452) = HCF(4970,1759) = HCF(6729,4970) .

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Frequently Asked Questions on HCF of 4970, 6729 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 4970, 6729?

Answer: HCF of 4970, 6729 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4970, 6729 using Euclid's Algorithm?

Answer: For arbitrary numbers 4970, 6729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.