Highest Common Factor of 589, 977, 468 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, 977, 468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 589, 977, 468 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, 977, 468 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, 977, 468 is 1.

HCF(589, 977, 468) = 1

HCF of 589, 977, 468 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, 977, 468 is 1.

Highest Common Factor of 589,977,468 using Euclid's algorithm

Highest Common Factor of 589,977,468 is 1

Step 1: Since 977 > 589, we apply the division lemma to 977 and 589, to get

977 = 589 x 1 + 388

Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 388 and 589, to get

589 = 388 x 1 + 201

Step 3: We consider the new divisor 388 and the new remainder 201, and apply the division lemma to get

388 = 201 x 1 + 187

We consider the new divisor 201 and the new remainder 187,and apply the division lemma to get

201 = 187 x 1 + 14

We consider the new divisor 187 and the new remainder 14,and apply the division lemma to get

187 = 14 x 13 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 977 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(187,14) = HCF(201,187) = HCF(388,201) = HCF(589,388) = HCF(977,589) .

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

Step 1: Since 468 > 1, we apply the division lemma to 468 and 1, to get

468 = 1 x 468 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 468 is 1

Notice that 1 = HCF(468,1) .

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, 977, 468 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, 977, 468?

Answer: HCF of 589, 977, 468 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 589, 977, 468 using Euclid's Algorithm?

Answer: For arbitrary numbers 589, 977, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.