Highest Common Factor of 871, 531, 820 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 871, 531, 820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 531, 820 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 871, 531, 820 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 871, 531, 820 is 1.

HCF(871, 531, 820) = 1

HCF of 871, 531, 820 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 871, 531, 820 is 1.

Highest Common Factor of 871,531,820 using Euclid's algorithm

Highest Common Factor of 871,531,820 is 1

Step 1: Since 871 > 531, we apply the division lemma to 871 and 531, to get

871 = 531 x 1 + 340

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 340 and 531, to get

531 = 340 x 1 + 191

Step 3: We consider the new divisor 340 and the new remainder 191, and apply the division lemma to get

340 = 191 x 1 + 149

We consider the new divisor 191 and the new remainder 149,and apply the division lemma to get

191 = 149 x 1 + 42

We consider the new divisor 149 and the new remainder 42,and apply the division lemma to get

149 = 42 x 3 + 23

We consider the new divisor 42 and the new remainder 23,and apply the division lemma to get

42 = 23 x 1 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 871 and 531 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(42,23) = HCF(149,42) = HCF(191,149) = HCF(340,191) = HCF(531,340) = HCF(871,531) .

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

Step 1: Since 820 > 1, we apply the division lemma to 820 and 1, to get

820 = 1 x 820 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 820 is 1

Notice that 1 = HCF(820,1) .

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Frequently Asked Questions on HCF of 871, 531, 820 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 871, 531, 820?

Answer: HCF of 871, 531, 820 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 531, 820 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 531, 820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.