Highest Common Factor of 589, 989, 22 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 589, 989, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 589, 989, 22 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 589, 989, 22 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 589, 989, 22 is 1.

HCF(589, 989, 22) = 1

HCF of 589, 989, 22 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 589, 989, 22 is 1.

Highest Common Factor of 589,989,22 using Euclid's algorithm

Highest Common Factor of 589,989,22 is 1

Step 1: Since 989 > 589, we apply the division lemma to 989 and 589, to get

989 = 589 x 1 + 400

Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 400 and 589, to get

589 = 400 x 1 + 189

Step 3: We consider the new divisor 400 and the new remainder 189, and apply the division lemma to get

400 = 189 x 2 + 22

We consider the new divisor 189 and the new remainder 22,and apply the division lemma to get

189 = 22 x 8 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 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 589 and 989 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(189,22) = HCF(400,189) = HCF(589,400) = HCF(989,589) .


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

Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1

Notice that 1 = HCF(22,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 589, 989, 22 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 589, 989, 22?

Answer: HCF of 589, 989, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 589, 989, 22 using Euclid's Algorithm?

Answer: For arbitrary numbers 589, 989, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.