Highest Common Factor of 6047, 2671 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 6047, 2671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6047, 2671 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 6047, 2671 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 6047, 2671 is 1.

HCF(6047, 2671) = 1

HCF of 6047, 2671 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 6047, 2671 is 1.

Highest Common Factor of 6047,2671 using Euclid's algorithm

Highest Common Factor of 6047,2671 is 1

Step 1: Since 6047 > 2671, we apply the division lemma to 6047 and 2671, to get

6047 = 2671 x 2 + 705

Step 2: Since the reminder 2671 ≠ 0, we apply division lemma to 705 and 2671, to get

2671 = 705 x 3 + 556

Step 3: We consider the new divisor 705 and the new remainder 556, and apply the division lemma to get

705 = 556 x 1 + 149

We consider the new divisor 556 and the new remainder 149,and apply the division lemma to get

556 = 149 x 3 + 109

We consider the new divisor 149 and the new remainder 109,and apply the division lemma to get

149 = 109 x 1 + 40

We consider the new divisor 109 and the new remainder 40,and apply the division lemma to get

109 = 40 x 2 + 29

We consider the new divisor 40 and the new remainder 29,and apply the division lemma to get

40 = 29 x 1 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 6047 and 2671 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(40,29) = HCF(109,40) = HCF(149,109) = HCF(556,149) = HCF(705,556) = HCF(2671,705) = HCF(6047,2671) .

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Frequently Asked Questions on HCF of 6047, 2671 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 6047, 2671?

Answer: HCF of 6047, 2671 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6047, 2671 using Euclid's Algorithm?

Answer: For arbitrary numbers 6047, 2671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.