Highest Common Factor of 271, 1776, 3043 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 271, 1776, 3043 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 271, 1776, 3043 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 271, 1776, 3043 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 271, 1776, 3043 is 1.

HCF(271, 1776, 3043) = 1

HCF of 271, 1776, 3043 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 271, 1776, 3043 is 1.

Highest Common Factor of 271,1776,3043 using Euclid's algorithm

Highest Common Factor of 271,1776,3043 is 1

Step 1: Since 1776 > 271, we apply the division lemma to 1776 and 271, to get

1776 = 271 x 6 + 150

Step 2: Since the reminder 271 ≠ 0, we apply division lemma to 150 and 271, to get

271 = 150 x 1 + 121

Step 3: We consider the new divisor 150 and the new remainder 121, and apply the division lemma to get

150 = 121 x 1 + 29

We consider the new divisor 121 and the new remainder 29,and apply the division lemma to get

121 = 29 x 4 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 271 and 1776 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(121,29) = HCF(150,121) = HCF(271,150) = HCF(1776,271) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 3043 > 1, we apply the division lemma to 3043 and 1, to get

3043 = 1 x 3043 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3043 is 1

Notice that 1 = HCF(3043,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 271, 1776, 3043 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 271, 1776, 3043?

Answer: HCF of 271, 1776, 3043 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 271, 1776, 3043 using Euclid's Algorithm?

Answer: For arbitrary numbers 271, 1776, 3043 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.