Highest Common Factor of 2381, 4587 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 2381, 4587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2381, 4587 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 2381, 4587 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 2381, 4587 is 1.

HCF(2381, 4587) = 1

HCF of 2381, 4587 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 2381, 4587 is 1.

Highest Common Factor of 2381,4587 using Euclid's algorithm

Highest Common Factor of 2381,4587 is 1

Step 1: Since 4587 > 2381, we apply the division lemma to 4587 and 2381, to get

4587 = 2381 x 1 + 2206

Step 2: Since the reminder 2381 ≠ 0, we apply division lemma to 2206 and 2381, to get

2381 = 2206 x 1 + 175

Step 3: We consider the new divisor 2206 and the new remainder 175, and apply the division lemma to get

2206 = 175 x 12 + 106

We consider the new divisor 175 and the new remainder 106,and apply the division lemma to get

175 = 106 x 1 + 69

We consider the new divisor 106 and the new remainder 69,and apply the division lemma to get

106 = 69 x 1 + 37

We consider the new divisor 69 and the new remainder 37,and apply the division lemma to get

69 = 37 x 1 + 32

We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get

37 = 32 x 1 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 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 2381 and 4587 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(69,37) = HCF(106,69) = HCF(175,106) = HCF(2206,175) = HCF(2381,2206) = HCF(4587,2381) .

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Frequently Asked Questions on HCF of 2381, 4587 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 2381, 4587?

Answer: HCF of 2381, 4587 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2381, 4587 using Euclid's Algorithm?

Answer: For arbitrary numbers 2381, 4587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.