Highest Common Factor of 5071, 2809 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 5071, 2809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5071, 2809 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 5071, 2809 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 5071, 2809 is 1.

HCF(5071, 2809) = 1

HCF of 5071, 2809 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 5071, 2809 is 1.

Highest Common Factor of 5071,2809 using Euclid's algorithm

Highest Common Factor of 5071,2809 is 1

Step 1: Since 5071 > 2809, we apply the division lemma to 5071 and 2809, to get

5071 = 2809 x 1 + 2262

Step 2: Since the reminder 2809 ≠ 0, we apply division lemma to 2262 and 2809, to get

2809 = 2262 x 1 + 547

Step 3: We consider the new divisor 2262 and the new remainder 547, and apply the division lemma to get

2262 = 547 x 4 + 74

We consider the new divisor 547 and the new remainder 74,and apply the division lemma to get

547 = 74 x 7 + 29

We consider the new divisor 74 and the new remainder 29,and apply the division lemma to get

74 = 29 x 2 + 16

We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get

29 = 16 x 1 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 5071 and 2809 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(74,29) = HCF(547,74) = HCF(2262,547) = HCF(2809,2262) = HCF(5071,2809) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5071, 2809 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 5071, 2809?

Answer: HCF of 5071, 2809 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5071, 2809 using Euclid's Algorithm?

Answer: For arbitrary numbers 5071, 2809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.