Highest Common Factor of 4143, 2317 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 4143, 2317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4143, 2317 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 4143, 2317 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 4143, 2317 is 1.

HCF(4143, 2317) = 1

HCF of 4143, 2317 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 4143, 2317 is 1.

Highest Common Factor of 4143,2317 using Euclid's algorithm

Highest Common Factor of 4143,2317 is 1

Step 1: Since 4143 > 2317, we apply the division lemma to 4143 and 2317, to get

4143 = 2317 x 1 + 1826

Step 2: Since the reminder 2317 ≠ 0, we apply division lemma to 1826 and 2317, to get

2317 = 1826 x 1 + 491

Step 3: We consider the new divisor 1826 and the new remainder 491, and apply the division lemma to get

1826 = 491 x 3 + 353

We consider the new divisor 491 and the new remainder 353,and apply the division lemma to get

491 = 353 x 1 + 138

We consider the new divisor 353 and the new remainder 138,and apply the division lemma to get

353 = 138 x 2 + 77

We consider the new divisor 138 and the new remainder 77,and apply the division lemma to get

138 = 77 x 1 + 61

We consider the new divisor 77 and the new remainder 61,and apply the division lemma to get

77 = 61 x 1 + 16

We consider the new divisor 61 and the new remainder 16,and apply the division lemma to get

61 = 16 x 3 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4143 and 2317 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(61,16) = HCF(77,61) = HCF(138,77) = HCF(353,138) = HCF(491,353) = HCF(1826,491) = HCF(2317,1826) = HCF(4143,2317) .

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Frequently Asked Questions on HCF of 4143, 2317 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 4143, 2317?

Answer: HCF of 4143, 2317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4143, 2317 using Euclid's Algorithm?

Answer: For arbitrary numbers 4143, 2317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.