Highest Common Factor of 411, 642, 481 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, 642, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 411, 642, 481 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, 642, 481 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, 642, 481 is 1.

HCF(411, 642, 481) = 1

HCF of 411, 642, 481 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, 642, 481 is 1.

Highest Common Factor of 411,642,481 using Euclid's algorithm

Highest Common Factor of 411,642,481 is 1

Step 1: Since 642 > 411, we apply the division lemma to 642 and 411, to get

642 = 411 x 1 + 231

Step 2: Since the reminder 411 ≠ 0, we apply division lemma to 231 and 411, to get

411 = 231 x 1 + 180

Step 3: We consider the new divisor 231 and the new remainder 180, and apply the division lemma to get

231 = 180 x 1 + 51

We consider the new divisor 180 and the new remainder 51,and apply the division lemma to get

180 = 51 x 3 + 27

We consider the new divisor 51 and the new remainder 27,and apply the division lemma to get

51 = 27 x 1 + 24

We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get

27 = 24 x 1 + 3

We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get

24 = 3 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 411 and 642 is 3

Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(51,27) = HCF(180,51) = HCF(231,180) = HCF(411,231) = HCF(642,411) .

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

Step 1: Since 481 > 3, we apply the division lemma to 481 and 3, to get

481 = 3 x 160 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 481 is 1

Notice that 1 = HCF(3,1) = HCF(481,3) .

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, 642, 481 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, 642, 481?

Answer: HCF of 411, 642, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 411, 642, 481 using Euclid's Algorithm?

Answer: For arbitrary numbers 411, 642, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.