Highest Common Factor of 2257, 5931 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 2257, 5931 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2257, 5931 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 2257, 5931 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 2257, 5931 is 1.

HCF(2257, 5931) = 1

HCF of 2257, 5931 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 2257, 5931 is 1.

Highest Common Factor of 2257,5931 using Euclid's algorithm

Highest Common Factor of 2257,5931 is 1

Step 1: Since 5931 > 2257, we apply the division lemma to 5931 and 2257, to get

5931 = 2257 x 2 + 1417

Step 2: Since the reminder 2257 ≠ 0, we apply division lemma to 1417 and 2257, to get

2257 = 1417 x 1 + 840

Step 3: We consider the new divisor 1417 and the new remainder 840, and apply the division lemma to get

1417 = 840 x 1 + 577

We consider the new divisor 840 and the new remainder 577,and apply the division lemma to get

840 = 577 x 1 + 263

We consider the new divisor 577 and the new remainder 263,and apply the division lemma to get

577 = 263 x 2 + 51

We consider the new divisor 263 and the new remainder 51,and apply the division lemma to get

263 = 51 x 5 + 8

We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get

51 = 8 x 6 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2257 and 5931 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(263,51) = HCF(577,263) = HCF(840,577) = HCF(1417,840) = HCF(2257,1417) = HCF(5931,2257) .

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Frequently Asked Questions on HCF of 2257, 5931 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 2257, 5931?

Answer: HCF of 2257, 5931 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2257, 5931 using Euclid's Algorithm?

Answer: For arbitrary numbers 2257, 5931 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.