Highest Common Factor of 2869, 5896, 31321 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 2869, 5896, 31321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2869, 5896, 31321 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 2869, 5896, 31321 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 2869, 5896, 31321 is 1.

HCF(2869, 5896, 31321) = 1

HCF of 2869, 5896, 31321 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 2869, 5896, 31321 is 1.

Highest Common Factor of 2869,5896,31321 using Euclid's algorithm

Highest Common Factor of 2869,5896,31321 is 1

Step 1: Since 5896 > 2869, we apply the division lemma to 5896 and 2869, to get

5896 = 2869 x 2 + 158

Step 2: Since the reminder 2869 ≠ 0, we apply division lemma to 158 and 2869, to get

2869 = 158 x 18 + 25

Step 3: We consider the new divisor 158 and the new remainder 25, and apply the division lemma to get

158 = 25 x 6 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2869 and 5896 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(158,25) = HCF(2869,158) = HCF(5896,2869) .

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

Step 1: Since 31321 > 1, we apply the division lemma to 31321 and 1, to get

31321 = 1 x 31321 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31321 is 1

Notice that 1 = HCF(31321,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2869, 5896, 31321 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 2869, 5896, 31321?

Answer: HCF of 2869, 5896, 31321 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2869, 5896, 31321 using Euclid's Algorithm?

Answer: For arbitrary numbers 2869, 5896, 31321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.