Highest Common Factor of 5076, 3671 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 5076, 3671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5076, 3671 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 5076, 3671 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 5076, 3671 is 1.

HCF(5076, 3671) = 1

HCF of 5076, 3671 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 5076, 3671 is 1.

Highest Common Factor of 5076,3671 using Euclid's algorithm

Highest Common Factor of 5076,3671 is 1

Step 1: Since 5076 > 3671, we apply the division lemma to 5076 and 3671, to get

5076 = 3671 x 1 + 1405

Step 2: Since the reminder 3671 ≠ 0, we apply division lemma to 1405 and 3671, to get

3671 = 1405 x 2 + 861

Step 3: We consider the new divisor 1405 and the new remainder 861, and apply the division lemma to get

1405 = 861 x 1 + 544

We consider the new divisor 861 and the new remainder 544,and apply the division lemma to get

861 = 544 x 1 + 317

We consider the new divisor 544 and the new remainder 317,and apply the division lemma to get

544 = 317 x 1 + 227

We consider the new divisor 317 and the new remainder 227,and apply the division lemma to get

317 = 227 x 1 + 90

We consider the new divisor 227 and the new remainder 90,and apply the division lemma to get

227 = 90 x 2 + 47

We consider the new divisor 90 and the new remainder 47,and apply the division lemma to get

90 = 47 x 1 + 43

We consider the new divisor 47 and the new remainder 43,and apply the division lemma to get

47 = 43 x 1 + 4

We consider the new divisor 43 and the new remainder 4,and apply the division lemma to get

43 = 4 x 10 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5076 and 3671 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(43,4) = HCF(47,43) = HCF(90,47) = HCF(227,90) = HCF(317,227) = HCF(544,317) = HCF(861,544) = HCF(1405,861) = HCF(3671,1405) = HCF(5076,3671) .

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Frequently Asked Questions on HCF of 5076, 3671 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 5076, 3671?

Answer: HCF of 5076, 3671 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5076, 3671 using Euclid's Algorithm?

Answer: For arbitrary numbers 5076, 3671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.