Highest Common Factor of 5087, 2859 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 5087, 2859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5087, 2859 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 5087, 2859 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 5087, 2859 is 1.

HCF(5087, 2859) = 1

HCF of 5087, 2859 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 5087, 2859 is 1.

Highest Common Factor of 5087,2859 using Euclid's algorithm

Highest Common Factor of 5087,2859 is 1

Step 1: Since 5087 > 2859, we apply the division lemma to 5087 and 2859, to get

5087 = 2859 x 1 + 2228

Step 2: Since the reminder 2859 ≠ 0, we apply division lemma to 2228 and 2859, to get

2859 = 2228 x 1 + 631

Step 3: We consider the new divisor 2228 and the new remainder 631, and apply the division lemma to get

2228 = 631 x 3 + 335

We consider the new divisor 631 and the new remainder 335,and apply the division lemma to get

631 = 335 x 1 + 296

We consider the new divisor 335 and the new remainder 296,and apply the division lemma to get

335 = 296 x 1 + 39

We consider the new divisor 296 and the new remainder 39,and apply the division lemma to get

296 = 39 x 7 + 23

We consider the new divisor 39 and the new remainder 23,and apply the division lemma to get

39 = 23 x 1 + 16

We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get

23 = 16 x 1 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 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 5087 and 2859 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(296,39) = HCF(335,296) = HCF(631,335) = HCF(2228,631) = HCF(2859,2228) = HCF(5087,2859) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5087, 2859 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 5087, 2859?

Answer: HCF of 5087, 2859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5087, 2859 using Euclid's Algorithm?

Answer: For arbitrary numbers 5087, 2859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.