Highest Common Factor of 2951, 5494 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 2951, 5494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2951, 5494 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 2951, 5494 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 2951, 5494 is 1.

HCF(2951, 5494) = 1

HCF of 2951, 5494 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 2951, 5494 is 1.

Highest Common Factor of 2951,5494 using Euclid's algorithm

Highest Common Factor of 2951,5494 is 1

Step 1: Since 5494 > 2951, we apply the division lemma to 5494 and 2951, to get

5494 = 2951 x 1 + 2543

Step 2: Since the reminder 2951 ≠ 0, we apply division lemma to 2543 and 2951, to get

2951 = 2543 x 1 + 408

Step 3: We consider the new divisor 2543 and the new remainder 408, and apply the division lemma to get

2543 = 408 x 6 + 95

We consider the new divisor 408 and the new remainder 95,and apply the division lemma to get

408 = 95 x 4 + 28

We consider the new divisor 95 and the new remainder 28,and apply the division lemma to get

95 = 28 x 3 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2951 and 5494 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(95,28) = HCF(408,95) = HCF(2543,408) = HCF(2951,2543) = HCF(5494,2951) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2951, 5494 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 2951, 5494?

Answer: HCF of 2951, 5494 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2951, 5494 using Euclid's Algorithm?

Answer: For arbitrary numbers 2951, 5494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.