Highest Common Factor of 4589, 6057 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 4589, 6057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4589, 6057 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 4589, 6057 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 4589, 6057 is 1.

HCF(4589, 6057) = 1

HCF of 4589, 6057 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 4589, 6057 is 1.

Highest Common Factor of 4589,6057 using Euclid's algorithm

Highest Common Factor of 4589,6057 is 1

Step 1: Since 6057 > 4589, we apply the division lemma to 6057 and 4589, to get

6057 = 4589 x 1 + 1468

Step 2: Since the reminder 4589 ≠ 0, we apply division lemma to 1468 and 4589, to get

4589 = 1468 x 3 + 185

Step 3: We consider the new divisor 1468 and the new remainder 185, and apply the division lemma to get

1468 = 185 x 7 + 173

We consider the new divisor 185 and the new remainder 173,and apply the division lemma to get

185 = 173 x 1 + 12

We consider the new divisor 173 and the new remainder 12,and apply the division lemma to get

173 = 12 x 14 + 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 4589 and 6057 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(173,12) = HCF(185,173) = HCF(1468,185) = HCF(4589,1468) = HCF(6057,4589) .

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Frequently Asked Questions on HCF of 4589, 6057 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 4589, 6057?

Answer: HCF of 4589, 6057 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4589, 6057 using Euclid's Algorithm?

Answer: For arbitrary numbers 4589, 6057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.