Highest Common Factor of 2401, 5811, 69876 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 2401, 5811, 69876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2401, 5811, 69876 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 2401, 5811, 69876 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 2401, 5811, 69876 is 1.

HCF(2401, 5811, 69876) = 1

HCF of 2401, 5811, 69876 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 2401, 5811, 69876 is 1.

Highest Common Factor of 2401,5811,69876 using Euclid's algorithm

Highest Common Factor of 2401,5811,69876 is 1

Step 1: Since 5811 > 2401, we apply the division lemma to 5811 and 2401, to get

5811 = 2401 x 2 + 1009

Step 2: Since the reminder 2401 ≠ 0, we apply division lemma to 1009 and 2401, to get

2401 = 1009 x 2 + 383

Step 3: We consider the new divisor 1009 and the new remainder 383, and apply the division lemma to get

1009 = 383 x 2 + 243

We consider the new divisor 383 and the new remainder 243,and apply the division lemma to get

383 = 243 x 1 + 140

We consider the new divisor 243 and the new remainder 140,and apply the division lemma to get

243 = 140 x 1 + 103

We consider the new divisor 140 and the new remainder 103,and apply the division lemma to get

140 = 103 x 1 + 37

We consider the new divisor 103 and the new remainder 37,and apply the division lemma to get

103 = 37 x 2 + 29

We consider the new divisor 37 and the new remainder 29,and apply the division lemma to get

37 = 29 x 1 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2401 and 5811 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(37,29) = HCF(103,37) = HCF(140,103) = HCF(243,140) = HCF(383,243) = HCF(1009,383) = HCF(2401,1009) = HCF(5811,2401) .

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

Step 1: Since 69876 > 1, we apply the division lemma to 69876 and 1, to get

69876 = 1 x 69876 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69876 is 1

Notice that 1 = HCF(69876,1) .

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Frequently Asked Questions on HCF of 2401, 5811, 69876 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 2401, 5811, 69876?

Answer: HCF of 2401, 5811, 69876 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2401, 5811, 69876 using Euclid's Algorithm?

Answer: For arbitrary numbers 2401, 5811, 69876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.