Highest Common Factor of 849, 2092, 5181 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 849, 2092, 5181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 849, 2092, 5181 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 849, 2092, 5181 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 849, 2092, 5181 is 1.

HCF(849, 2092, 5181) = 1

HCF of 849, 2092, 5181 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 849, 2092, 5181 is 1.

Highest Common Factor of 849,2092,5181 using Euclid's algorithm

Highest Common Factor of 849,2092,5181 is 1

Step 1: Since 2092 > 849, we apply the division lemma to 2092 and 849, to get

2092 = 849 x 2 + 394

Step 2: Since the reminder 849 ≠ 0, we apply division lemma to 394 and 849, to get

849 = 394 x 2 + 61

Step 3: We consider the new divisor 394 and the new remainder 61, and apply the division lemma to get

394 = 61 x 6 + 28

We consider the new divisor 61 and the new remainder 28,and apply the division lemma to get

61 = 28 x 2 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 849 and 2092 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(394,61) = HCF(849,394) = HCF(2092,849) .

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

Step 1: Since 5181 > 1, we apply the division lemma to 5181 and 1, to get

5181 = 1 x 5181 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5181 is 1

Notice that 1 = HCF(5181,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 849, 2092, 5181 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 849, 2092, 5181?

Answer: HCF of 849, 2092, 5181 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 849, 2092, 5181 using Euclid's Algorithm?

Answer: For arbitrary numbers 849, 2092, 5181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.