Highest Common Factor of 8879, 6808, 71339 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 8879, 6808, 71339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8879, 6808, 71339 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 8879, 6808, 71339 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 8879, 6808, 71339 is 1.

HCF(8879, 6808, 71339) = 1

HCF of 8879, 6808, 71339 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 8879, 6808, 71339 is 1.

Highest Common Factor of 8879,6808,71339 using Euclid's algorithm

Highest Common Factor of 8879,6808,71339 is 1

Step 1: Since 8879 > 6808, we apply the division lemma to 8879 and 6808, to get

8879 = 6808 x 1 + 2071

Step 2: Since the reminder 6808 ≠ 0, we apply division lemma to 2071 and 6808, to get

6808 = 2071 x 3 + 595

Step 3: We consider the new divisor 2071 and the new remainder 595, and apply the division lemma to get

2071 = 595 x 3 + 286

We consider the new divisor 595 and the new remainder 286,and apply the division lemma to get

595 = 286 x 2 + 23

We consider the new divisor 286 and the new remainder 23,and apply the division lemma to get

286 = 23 x 12 + 10

We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get

23 = 10 x 2 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 8879 and 6808 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(286,23) = HCF(595,286) = HCF(2071,595) = HCF(6808,2071) = HCF(8879,6808) .

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

Step 1: Since 71339 > 1, we apply the division lemma to 71339 and 1, to get

71339 = 1 x 71339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71339 is 1

Notice that 1 = HCF(71339,1) .

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Frequently Asked Questions on HCF of 8879, 6808, 71339 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 8879, 6808, 71339?

Answer: HCF of 8879, 6808, 71339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8879, 6808, 71339 using Euclid's Algorithm?

Answer: For arbitrary numbers 8879, 6808, 71339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.