Highest Common Factor of 2837, 6264 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 2837, 6264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2837, 6264 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 2837, 6264 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 2837, 6264 is 1.

HCF(2837, 6264) = 1

HCF of 2837, 6264 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 2837, 6264 is 1.

Highest Common Factor of 2837,6264 using Euclid's algorithm

Highest Common Factor of 2837,6264 is 1

Step 1: Since 6264 > 2837, we apply the division lemma to 6264 and 2837, to get

6264 = 2837 x 2 + 590

Step 2: Since the reminder 2837 ≠ 0, we apply division lemma to 590 and 2837, to get

2837 = 590 x 4 + 477

Step 3: We consider the new divisor 590 and the new remainder 477, and apply the division lemma to get

590 = 477 x 1 + 113

We consider the new divisor 477 and the new remainder 113,and apply the division lemma to get

477 = 113 x 4 + 25

We consider the new divisor 113 and the new remainder 25,and apply the division lemma to get

113 = 25 x 4 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2837 and 6264 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(113,25) = HCF(477,113) = HCF(590,477) = HCF(2837,590) = HCF(6264,2837) .

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Frequently Asked Questions on HCF of 2837, 6264 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 2837, 6264?

Answer: HCF of 2837, 6264 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2837, 6264 using Euclid's Algorithm?

Answer: For arbitrary numbers 2837, 6264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.