Highest Common Factor of 3981, 3113 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 3981, 3113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3981, 3113 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 3981, 3113 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 3981, 3113 is 1.

HCF(3981, 3113) = 1

HCF of 3981, 3113 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 3981, 3113 is 1.

Highest Common Factor of 3981,3113 using Euclid's algorithm

Highest Common Factor of 3981,3113 is 1

Step 1: Since 3981 > 3113, we apply the division lemma to 3981 and 3113, to get

3981 = 3113 x 1 + 868

Step 2: Since the reminder 3113 ≠ 0, we apply division lemma to 868 and 3113, to get

3113 = 868 x 3 + 509

Step 3: We consider the new divisor 868 and the new remainder 509, and apply the division lemma to get

868 = 509 x 1 + 359

We consider the new divisor 509 and the new remainder 359,and apply the division lemma to get

509 = 359 x 1 + 150

We consider the new divisor 359 and the new remainder 150,and apply the division lemma to get

359 = 150 x 2 + 59

We consider the new divisor 150 and the new remainder 59,and apply the division lemma to get

150 = 59 x 2 + 32

We consider the new divisor 59 and the new remainder 32,and apply the division lemma to get

59 = 32 x 1 + 27

We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get

32 = 27 x 1 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3981 and 3113 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(59,32) = HCF(150,59) = HCF(359,150) = HCF(509,359) = HCF(868,509) = HCF(3113,868) = HCF(3981,3113) .

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Frequently Asked Questions on HCF of 3981, 3113 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 3981, 3113?

Answer: HCF of 3981, 3113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3981, 3113 using Euclid's Algorithm?

Answer: For arbitrary numbers 3981, 3113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.