Highest Common Factor of 3718, 5881 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 3718, 5881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3718, 5881 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 3718, 5881 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 3718, 5881 is 1.

HCF(3718, 5881) = 1

HCF of 3718, 5881 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 3718, 5881 is 1.

Highest Common Factor of 3718,5881 using Euclid's algorithm

Highest Common Factor of 3718,5881 is 1

Step 1: Since 5881 > 3718, we apply the division lemma to 5881 and 3718, to get

5881 = 3718 x 1 + 2163

Step 2: Since the reminder 3718 ≠ 0, we apply division lemma to 2163 and 3718, to get

3718 = 2163 x 1 + 1555

Step 3: We consider the new divisor 2163 and the new remainder 1555, and apply the division lemma to get

2163 = 1555 x 1 + 608

We consider the new divisor 1555 and the new remainder 608,and apply the division lemma to get

1555 = 608 x 2 + 339

We consider the new divisor 608 and the new remainder 339,and apply the division lemma to get

608 = 339 x 1 + 269

We consider the new divisor 339 and the new remainder 269,and apply the division lemma to get

339 = 269 x 1 + 70

We consider the new divisor 269 and the new remainder 70,and apply the division lemma to get

269 = 70 x 3 + 59

We consider the new divisor 70 and the new remainder 59,and apply the division lemma to get

70 = 59 x 1 + 11

We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get

59 = 11 x 5 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 3718 and 5881 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(70,59) = HCF(269,70) = HCF(339,269) = HCF(608,339) = HCF(1555,608) = HCF(2163,1555) = HCF(3718,2163) = HCF(5881,3718) .

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Frequently Asked Questions on HCF of 3718, 5881 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 3718, 5881?

Answer: HCF of 3718, 5881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3718, 5881 using Euclid's Algorithm?

Answer: For arbitrary numbers 3718, 5881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.