Highest Common Factor of 944, 6279 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 944, 6279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 6279 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 944, 6279 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 944, 6279 is 1.

HCF(944, 6279) = 1

HCF of 944, 6279 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 944, 6279 is 1.

Highest Common Factor of 944,6279 using Euclid's algorithm

Highest Common Factor of 944,6279 is 1

Step 1: Since 6279 > 944, we apply the division lemma to 6279 and 944, to get

6279 = 944 x 6 + 615

Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 615 and 944, to get

944 = 615 x 1 + 329

Step 3: We consider the new divisor 615 and the new remainder 329, and apply the division lemma to get

615 = 329 x 1 + 286

We consider the new divisor 329 and the new remainder 286,and apply the division lemma to get

329 = 286 x 1 + 43

We consider the new divisor 286 and the new remainder 43,and apply the division lemma to get

286 = 43 x 6 + 28

We consider the new divisor 43 and the new remainder 28,and apply the division lemma to get

43 = 28 x 1 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 944 and 6279 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(286,43) = HCF(329,286) = HCF(615,329) = HCF(944,615) = HCF(6279,944) .

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Frequently Asked Questions on HCF of 944, 6279 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 944, 6279?

Answer: HCF of 944, 6279 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 6279 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 6279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.