Highest Common Factor of 6081, 3663, 13811 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 6081, 3663, 13811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6081, 3663, 13811 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 6081, 3663, 13811 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 6081, 3663, 13811 is 1.

HCF(6081, 3663, 13811) = 1

HCF of 6081, 3663, 13811 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 6081, 3663, 13811 is 1.

Highest Common Factor of 6081,3663,13811 using Euclid's algorithm

Highest Common Factor of 6081,3663,13811 is 1

Step 1: Since 6081 > 3663, we apply the division lemma to 6081 and 3663, to get

6081 = 3663 x 1 + 2418

Step 2: Since the reminder 3663 ≠ 0, we apply division lemma to 2418 and 3663, to get

3663 = 2418 x 1 + 1245

Step 3: We consider the new divisor 2418 and the new remainder 1245, and apply the division lemma to get

2418 = 1245 x 1 + 1173

We consider the new divisor 1245 and the new remainder 1173,and apply the division lemma to get

1245 = 1173 x 1 + 72

We consider the new divisor 1173 and the new remainder 72,and apply the division lemma to get

1173 = 72 x 16 + 21

We consider the new divisor 72 and the new remainder 21,and apply the division lemma to get

72 = 21 x 3 + 9

We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get

21 = 9 x 2 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6081 and 3663 is 3

Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(72,21) = HCF(1173,72) = HCF(1245,1173) = HCF(2418,1245) = HCF(3663,2418) = HCF(6081,3663) .

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

Step 1: Since 13811 > 3, we apply the division lemma to 13811 and 3, to get

13811 = 3 x 4603 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 13811 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(13811,3) .

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Frequently Asked Questions on HCF of 6081, 3663, 13811 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 6081, 3663, 13811?

Answer: HCF of 6081, 3663, 13811 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6081, 3663, 13811 using Euclid's Algorithm?

Answer: For arbitrary numbers 6081, 3663, 13811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.