Highest Common Factor of 579, 893, 506 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 579, 893, 506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 579, 893, 506 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 579, 893, 506 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 579, 893, 506 is 1.

HCF(579, 893, 506) = 1

HCF of 579, 893, 506 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 579, 893, 506 is 1.

Highest Common Factor of 579,893,506 using Euclid's algorithm

Highest Common Factor of 579,893,506 is 1

Step 1: Since 893 > 579, we apply the division lemma to 893 and 579, to get

893 = 579 x 1 + 314

Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 314 and 579, to get

579 = 314 x 1 + 265

Step 3: We consider the new divisor 314 and the new remainder 265, and apply the division lemma to get

314 = 265 x 1 + 49

We consider the new divisor 265 and the new remainder 49,and apply the division lemma to get

265 = 49 x 5 + 20

We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get

49 = 20 x 2 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 579 and 893 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(265,49) = HCF(314,265) = HCF(579,314) = HCF(893,579) .

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

Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get

506 = 1 x 506 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1

Notice that 1 = HCF(506,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 579, 893, 506 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 579, 893, 506?

Answer: HCF of 579, 893, 506 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 579, 893, 506 using Euclid's Algorithm?

Answer: For arbitrary numbers 579, 893, 506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.