Highest Common Factor of 831, 508, 581 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 831, 508, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 831, 508, 581 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 831, 508, 581 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 831, 508, 581 is 1.

HCF(831, 508, 581) = 1

HCF of 831, 508, 581 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 831, 508, 581 is 1.

Highest Common Factor of 831,508,581 using Euclid's algorithm

Highest Common Factor of 831,508,581 is 1

Step 1: Since 831 > 508, we apply the division lemma to 831 and 508, to get

831 = 508 x 1 + 323

Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 323 and 508, to get

508 = 323 x 1 + 185

Step 3: We consider the new divisor 323 and the new remainder 185, and apply the division lemma to get

323 = 185 x 1 + 138

We consider the new divisor 185 and the new remainder 138,and apply the division lemma to get

185 = 138 x 1 + 47

We consider the new divisor 138 and the new remainder 47,and apply the division lemma to get

138 = 47 x 2 + 44

We consider the new divisor 47 and the new remainder 44,and apply the division lemma to get

47 = 44 x 1 + 3

We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get

44 = 3 x 14 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 831 and 508 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(47,44) = HCF(138,47) = HCF(185,138) = HCF(323,185) = HCF(508,323) = HCF(831,508) .

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

Step 1: Since 581 > 1, we apply the division lemma to 581 and 1, to get

581 = 1 x 581 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 581 is 1

Notice that 1 = HCF(581,1) .

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Frequently Asked Questions on HCF of 831, 508, 581 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 831, 508, 581?

Answer: HCF of 831, 508, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 831, 508, 581 using Euclid's Algorithm?

Answer: For arbitrary numbers 831, 508, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.