Highest Common Factor of 981, 586 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 981, 586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 981, 586 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 981, 586 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 981, 586 is 1.

HCF(981, 586) = 1

HCF of 981, 586 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 981, 586 is 1.

Highest Common Factor of 981,586 using Euclid's algorithm

Highest Common Factor of 981,586 is 1

Step 1: Since 981 > 586, we apply the division lemma to 981 and 586, to get

981 = 586 x 1 + 395

Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 395 and 586, to get

586 = 395 x 1 + 191

Step 3: We consider the new divisor 395 and the new remainder 191, and apply the division lemma to get

395 = 191 x 2 + 13

We consider the new divisor 191 and the new remainder 13,and apply the division lemma to get

191 = 13 x 14 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 586 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(191,13) = HCF(395,191) = HCF(586,395) = HCF(981,586) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 981, 586 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 981, 586?

Answer: HCF of 981, 586 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 981, 586 using Euclid's Algorithm?

Answer: For arbitrary numbers 981, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.