Highest Common Factor of 571, 947, 637 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 571, 947, 637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 571, 947, 637 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 571, 947, 637 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 571, 947, 637 is 1.

HCF(571, 947, 637) = 1

HCF of 571, 947, 637 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 571, 947, 637 is 1.

Highest Common Factor of 571,947,637 using Euclid's algorithm

Highest Common Factor of 571,947,637 is 1

Step 1: Since 947 > 571, we apply the division lemma to 947 and 571, to get

947 = 571 x 1 + 376

Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 376 and 571, to get

571 = 376 x 1 + 195

Step 3: We consider the new divisor 376 and the new remainder 195, and apply the division lemma to get

376 = 195 x 1 + 181

We consider the new divisor 195 and the new remainder 181,and apply the division lemma to get

195 = 181 x 1 + 14

We consider the new divisor 181 and the new remainder 14,and apply the division lemma to get

181 = 14 x 12 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 947 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(181,14) = HCF(195,181) = HCF(376,195) = HCF(571,376) = HCF(947,571) .


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

Step 1: Since 637 > 1, we apply the division lemma to 637 and 1, to get

637 = 1 x 637 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 637 is 1

Notice that 1 = HCF(637,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 571, 947, 637 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 571, 947, 637?

Answer: HCF of 571, 947, 637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 571, 947, 637 using Euclid's Algorithm?

Answer: For arbitrary numbers 571, 947, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.