Highest Common Factor of 6187, 3401 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 6187, 3401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6187, 3401 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 6187, 3401 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 6187, 3401 is 1.

HCF(6187, 3401) = 1

HCF of 6187, 3401 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 6187, 3401 is 1.

Highest Common Factor of 6187,3401 using Euclid's algorithm

Highest Common Factor of 6187,3401 is 1

Step 1: Since 6187 > 3401, we apply the division lemma to 6187 and 3401, to get

6187 = 3401 x 1 + 2786

Step 2: Since the reminder 3401 ≠ 0, we apply division lemma to 2786 and 3401, to get

3401 = 2786 x 1 + 615

Step 3: We consider the new divisor 2786 and the new remainder 615, and apply the division lemma to get

2786 = 615 x 4 + 326

We consider the new divisor 615 and the new remainder 326,and apply the division lemma to get

615 = 326 x 1 + 289

We consider the new divisor 326 and the new remainder 289,and apply the division lemma to get

326 = 289 x 1 + 37

We consider the new divisor 289 and the new remainder 37,and apply the division lemma to get

289 = 37 x 7 + 30

We consider the new divisor 37 and the new remainder 30,and apply the division lemma to get

37 = 30 x 1 + 7

We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get

30 = 7 x 4 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 6187 and 3401 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(289,37) = HCF(326,289) = HCF(615,326) = HCF(2786,615) = HCF(3401,2786) = HCF(6187,3401) .

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Frequently Asked Questions on HCF of 6187, 3401 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 6187, 3401?

Answer: HCF of 6187, 3401 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6187, 3401 using Euclid's Algorithm?

Answer: For arbitrary numbers 6187, 3401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.