Highest Common Factor of 401, 631, 317 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 401, 631, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 401, 631, 317 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 401, 631, 317 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 401, 631, 317 is 1.

HCF(401, 631, 317) = 1

HCF of 401, 631, 317 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 401, 631, 317 is 1.

Highest Common Factor of 401,631,317 using Euclid's algorithm

Highest Common Factor of 401,631,317 is 1

Step 1: Since 631 > 401, we apply the division lemma to 631 and 401, to get

631 = 401 x 1 + 230

Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 230 and 401, to get

401 = 230 x 1 + 171

Step 3: We consider the new divisor 230 and the new remainder 171, and apply the division lemma to get

230 = 171 x 1 + 59

We consider the new divisor 171 and the new remainder 59,and apply the division lemma to get

171 = 59 x 2 + 53

We consider the new divisor 59 and the new remainder 53,and apply the division lemma to get

59 = 53 x 1 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 631 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(171,59) = HCF(230,171) = HCF(401,230) = HCF(631,401) .

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

Step 1: Since 317 > 1, we apply the division lemma to 317 and 1, to get

317 = 1 x 317 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 317 is 1

Notice that 1 = HCF(317,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 401, 631, 317 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 401, 631, 317?

Answer: HCF of 401, 631, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 401, 631, 317 using Euclid's Algorithm?

Answer: For arbitrary numbers 401, 631, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.