Highest Common Factor of 2081, 2901, 43326 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 2081, 2901, 43326 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2081, 2901, 43326 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 2081, 2901, 43326 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 2081, 2901, 43326 is 1.

HCF(2081, 2901, 43326) = 1

HCF of 2081, 2901, 43326 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 2081, 2901, 43326 is 1.

Highest Common Factor of 2081,2901,43326 using Euclid's algorithm

Highest Common Factor of 2081,2901,43326 is 1

Step 1: Since 2901 > 2081, we apply the division lemma to 2901 and 2081, to get

2901 = 2081 x 1 + 820

Step 2: Since the reminder 2081 ≠ 0, we apply division lemma to 820 and 2081, to get

2081 = 820 x 2 + 441

Step 3: We consider the new divisor 820 and the new remainder 441, and apply the division lemma to get

820 = 441 x 1 + 379

We consider the new divisor 441 and the new remainder 379,and apply the division lemma to get

441 = 379 x 1 + 62

We consider the new divisor 379 and the new remainder 62,and apply the division lemma to get

379 = 62 x 6 + 7

We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get

62 = 7 x 8 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2081 and 2901 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(379,62) = HCF(441,379) = HCF(820,441) = HCF(2081,820) = HCF(2901,2081) .

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

Step 1: Since 43326 > 1, we apply the division lemma to 43326 and 1, to get

43326 = 1 x 43326 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43326 is 1

Notice that 1 = HCF(43326,1) .

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Frequently Asked Questions on HCF of 2081, 2901, 43326 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 2081, 2901, 43326?

Answer: HCF of 2081, 2901, 43326 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2081, 2901, 43326 using Euclid's Algorithm?

Answer: For arbitrary numbers 2081, 2901, 43326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.