Highest Common Factor of 2915, 4579 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 2915, 4579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2915, 4579 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 2915, 4579 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 2915, 4579 is 1.

HCF(2915, 4579) = 1

HCF of 2915, 4579 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 2915, 4579 is 1.

Highest Common Factor of 2915,4579 using Euclid's algorithm

Highest Common Factor of 2915,4579 is 1

Step 1: Since 4579 > 2915, we apply the division lemma to 4579 and 2915, to get

4579 = 2915 x 1 + 1664

Step 2: Since the reminder 2915 ≠ 0, we apply division lemma to 1664 and 2915, to get

2915 = 1664 x 1 + 1251

Step 3: We consider the new divisor 1664 and the new remainder 1251, and apply the division lemma to get

1664 = 1251 x 1 + 413

We consider the new divisor 1251 and the new remainder 413,and apply the division lemma to get

1251 = 413 x 3 + 12

We consider the new divisor 413 and the new remainder 12,and apply the division lemma to get

413 = 12 x 34 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2915 and 4579 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(413,12) = HCF(1251,413) = HCF(1664,1251) = HCF(2915,1664) = HCF(4579,2915) .

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Frequently Asked Questions on HCF of 2915, 4579 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 2915, 4579?

Answer: HCF of 2915, 4579 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2915, 4579 using Euclid's Algorithm?

Answer: For arbitrary numbers 2915, 4579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.