Highest Common Factor of 2389, 3906 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 2389, 3906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2389, 3906 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 2389, 3906 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 2389, 3906 is 1.

HCF(2389, 3906) = 1

HCF of 2389, 3906 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 2389, 3906 is 1.

Highest Common Factor of 2389,3906 using Euclid's algorithm

Highest Common Factor of 2389,3906 is 1

Step 1: Since 3906 > 2389, we apply the division lemma to 3906 and 2389, to get

3906 = 2389 x 1 + 1517

Step 2: Since the reminder 2389 ≠ 0, we apply division lemma to 1517 and 2389, to get

2389 = 1517 x 1 + 872

Step 3: We consider the new divisor 1517 and the new remainder 872, and apply the division lemma to get

1517 = 872 x 1 + 645

We consider the new divisor 872 and the new remainder 645,and apply the division lemma to get

872 = 645 x 1 + 227

We consider the new divisor 645 and the new remainder 227,and apply the division lemma to get

645 = 227 x 2 + 191

We consider the new divisor 227 and the new remainder 191,and apply the division lemma to get

227 = 191 x 1 + 36

We consider the new divisor 191 and the new remainder 36,and apply the division lemma to get

191 = 36 x 5 + 11

We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get

36 = 11 x 3 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 2389 and 3906 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(191,36) = HCF(227,191) = HCF(645,227) = HCF(872,645) = HCF(1517,872) = HCF(2389,1517) = HCF(3906,2389) .

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Frequently Asked Questions on HCF of 2389, 3906 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 2389, 3906?

Answer: HCF of 2389, 3906 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2389, 3906 using Euclid's Algorithm?

Answer: For arbitrary numbers 2389, 3906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.