Highest Common Factor of 8894, 6579 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 8894, 6579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8894, 6579 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 8894, 6579 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 8894, 6579 is 1.

HCF(8894, 6579) = 1

HCF of 8894, 6579 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8894, 6579 is 1.

Highest Common Factor of 8894,6579 using Euclid's algorithm

Highest Common Factor of 8894,6579 is 1

Step 1: Since 8894 > 6579, we apply the division lemma to 8894 and 6579, to get

8894 = 6579 x 1 + 2315

Step 2: Since the reminder 6579 ≠ 0, we apply division lemma to 2315 and 6579, to get

6579 = 2315 x 2 + 1949

Step 3: We consider the new divisor 2315 and the new remainder 1949, and apply the division lemma to get

2315 = 1949 x 1 + 366

We consider the new divisor 1949 and the new remainder 366,and apply the division lemma to get

1949 = 366 x 5 + 119

We consider the new divisor 366 and the new remainder 119,and apply the division lemma to get

366 = 119 x 3 + 9

We consider the new divisor 119 and the new remainder 9,and apply the division lemma to get

119 = 9 x 13 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 8894 and 6579 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(119,9) = HCF(366,119) = HCF(1949,366) = HCF(2315,1949) = HCF(6579,2315) = HCF(8894,6579) .

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Frequently Asked Questions on HCF of 8894, 6579 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 8894, 6579?

Answer: HCF of 8894, 6579 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8894, 6579 using Euclid's Algorithm?

Answer: For arbitrary numbers 8894, 6579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.