Highest Common Factor of 2934, 4117, 16231 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 2934, 4117, 16231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2934, 4117, 16231 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 2934, 4117, 16231 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 2934, 4117, 16231 is 1.

HCF(2934, 4117, 16231) = 1

HCF of 2934, 4117, 16231 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 2934, 4117, 16231 is 1.

Highest Common Factor of 2934,4117,16231 using Euclid's algorithm

Highest Common Factor of 2934,4117,16231 is 1

Step 1: Since 4117 > 2934, we apply the division lemma to 4117 and 2934, to get

4117 = 2934 x 1 + 1183

Step 2: Since the reminder 2934 ≠ 0, we apply division lemma to 1183 and 2934, to get

2934 = 1183 x 2 + 568

Step 3: We consider the new divisor 1183 and the new remainder 568, and apply the division lemma to get

1183 = 568 x 2 + 47

We consider the new divisor 568 and the new remainder 47,and apply the division lemma to get

568 = 47 x 12 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2934 and 4117 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(568,47) = HCF(1183,568) = HCF(2934,1183) = HCF(4117,2934) .

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

Step 1: Since 16231 > 1, we apply the division lemma to 16231 and 1, to get

16231 = 1 x 16231 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16231 is 1

Notice that 1 = HCF(16231,1) .

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Frequently Asked Questions on HCF of 2934, 4117, 16231 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 2934, 4117, 16231?

Answer: HCF of 2934, 4117, 16231 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2934, 4117, 16231 using Euclid's Algorithm?

Answer: For arbitrary numbers 2934, 4117, 16231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.