Highest Common Factor of 6944, 2629 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 6944, 2629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6944, 2629 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 6944, 2629 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 6944, 2629 is 1.

HCF(6944, 2629) = 1

HCF of 6944, 2629 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 6944, 2629 is 1.

Highest Common Factor of 6944,2629 using Euclid's algorithm

Highest Common Factor of 6944,2629 is 1

Step 1: Since 6944 > 2629, we apply the division lemma to 6944 and 2629, to get

6944 = 2629 x 2 + 1686

Step 2: Since the reminder 2629 ≠ 0, we apply division lemma to 1686 and 2629, to get

2629 = 1686 x 1 + 943

Step 3: We consider the new divisor 1686 and the new remainder 943, and apply the division lemma to get

1686 = 943 x 1 + 743

We consider the new divisor 943 and the new remainder 743,and apply the division lemma to get

943 = 743 x 1 + 200

We consider the new divisor 743 and the new remainder 200,and apply the division lemma to get

743 = 200 x 3 + 143

We consider the new divisor 200 and the new remainder 143,and apply the division lemma to get

200 = 143 x 1 + 57

We consider the new divisor 143 and the new remainder 57,and apply the division lemma to get

143 = 57 x 2 + 29

We consider the new divisor 57 and the new remainder 29,and apply the division lemma to get

57 = 29 x 1 + 28

We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get

29 = 28 x 1 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6944 and 2629 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(143,57) = HCF(200,143) = HCF(743,200) = HCF(943,743) = HCF(1686,943) = HCF(2629,1686) = HCF(6944,2629) .

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Frequently Asked Questions on HCF of 6944, 2629 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 6944, 2629?

Answer: HCF of 6944, 2629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6944, 2629 using Euclid's Algorithm?

Answer: For arbitrary numbers 6944, 2629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.