Highest Common Factor of 818, 429, 631 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 818, 429, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 818, 429, 631 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 818, 429, 631 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 818, 429, 631 is 1.

HCF(818, 429, 631) = 1

HCF of 818, 429, 631 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 818, 429, 631 is 1.

Highest Common Factor of 818,429,631 using Euclid's algorithm

Highest Common Factor of 818,429,631 is 1

Step 1: Since 818 > 429, we apply the division lemma to 818 and 429, to get

818 = 429 x 1 + 389

Step 2: Since the reminder 429 ≠ 0, we apply division lemma to 389 and 429, to get

429 = 389 x 1 + 40

Step 3: We consider the new divisor 389 and the new remainder 40, and apply the division lemma to get

389 = 40 x 9 + 29

We consider the new divisor 40 and the new remainder 29,and apply the division lemma to get

40 = 29 x 1 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 818 and 429 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(40,29) = HCF(389,40) = HCF(429,389) = HCF(818,429) .

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

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

631 = 1 x 631 + 0

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

Notice that 1 = HCF(631,1) .

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Frequently Asked Questions on HCF of 818, 429, 631 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 818, 429, 631?

Answer: HCF of 818, 429, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 818, 429, 631 using Euclid's Algorithm?

Answer: For arbitrary numbers 818, 429, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.