Highest Common Factor of 411, 637, 401 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 411, 637, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 411, 637, 401 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 411, 637, 401 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 411, 637, 401 is 1.

HCF(411, 637, 401) = 1

HCF of 411, 637, 401 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 411, 637, 401 is 1.

Highest Common Factor of 411,637,401 using Euclid's algorithm

Highest Common Factor of 411,637,401 is 1

Step 1: Since 637 > 411, we apply the division lemma to 637 and 411, to get

637 = 411 x 1 + 226

Step 2: Since the reminder 411 ≠ 0, we apply division lemma to 226 and 411, to get

411 = 226 x 1 + 185

Step 3: We consider the new divisor 226 and the new remainder 185, and apply the division lemma to get

226 = 185 x 1 + 41

We consider the new divisor 185 and the new remainder 41,and apply the division lemma to get

185 = 41 x 4 + 21

We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get

41 = 21 x 1 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 411 and 637 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(185,41) = HCF(226,185) = HCF(411,226) = HCF(637,411) .

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

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

401 = 1 x 401 + 0

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

Notice that 1 = HCF(401,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 411, 637, 401 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 411, 637, 401?

Answer: HCF of 411, 637, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 411, 637, 401 using Euclid's Algorithm?

Answer: For arbitrary numbers 411, 637, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.