Highest Common Factor of 644, 547, 316, 579 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 644, 547, 316, 579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 644, 547, 316, 579 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 644, 547, 316, 579 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 644, 547, 316, 579 is 1.

HCF(644, 547, 316, 579) = 1

HCF of 644, 547, 316, 579 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 644, 547, 316, 579 is 1.

Highest Common Factor of 644,547,316,579 using Euclid's algorithm

Highest Common Factor of 644,547,316,579 is 1

Step 1: Since 644 > 547, we apply the division lemma to 644 and 547, to get

644 = 547 x 1 + 97

Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 97 and 547, to get

547 = 97 x 5 + 62

Step 3: We consider the new divisor 97 and the new remainder 62, and apply the division lemma to get

97 = 62 x 1 + 35

We consider the new divisor 62 and the new remainder 35,and apply the division lemma to get

62 = 35 x 1 + 27

We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get

35 = 27 x 1 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 644 and 547 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(62,35) = HCF(97,62) = HCF(547,97) = HCF(644,547) .

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

Step 1: Since 316 > 1, we apply the division lemma to 316 and 1, to get

316 = 1 x 316 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 316 is 1

Notice that 1 = HCF(316,1) .

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

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

579 = 1 x 579 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 579 is 1

Notice that 1 = HCF(579,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 644, 547, 316, 579 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 644, 547, 316, 579?

Answer: HCF of 644, 547, 316, 579 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 644, 547, 316, 579 using Euclid's Algorithm?

Answer: For arbitrary numbers 644, 547, 316, 579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.