Highest Common Factor of 3127, 2072 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 3127, 2072 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3127, 2072 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 3127, 2072 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 3127, 2072 is 1.

HCF(3127, 2072) = 1

HCF of 3127, 2072 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 3127, 2072 is 1.

Highest Common Factor of 3127,2072 using Euclid's algorithm

Highest Common Factor of 3127,2072 is 1

Step 1: Since 3127 > 2072, we apply the division lemma to 3127 and 2072, to get

3127 = 2072 x 1 + 1055

Step 2: Since the reminder 2072 ≠ 0, we apply division lemma to 1055 and 2072, to get

2072 = 1055 x 1 + 1017

Step 3: We consider the new divisor 1055 and the new remainder 1017, and apply the division lemma to get

1055 = 1017 x 1 + 38

We consider the new divisor 1017 and the new remainder 38,and apply the division lemma to get

1017 = 38 x 26 + 29

We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get

38 = 29 x 1 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 3127 and 2072 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(1017,38) = HCF(1055,1017) = HCF(2072,1055) = HCF(3127,2072) .

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Frequently Asked Questions on HCF of 3127, 2072 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 3127, 2072?

Answer: HCF of 3127, 2072 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3127, 2072 using Euclid's Algorithm?

Answer: For arbitrary numbers 3127, 2072 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.