Highest Common Factor of 820, 427, 571 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 820, 427, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 820, 427, 571 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 820, 427, 571 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 820, 427, 571 is 1.

HCF(820, 427, 571) = 1

HCF of 820, 427, 571 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 820, 427, 571 is 1.

Highest Common Factor of 820,427,571 using Euclid's algorithm

Highest Common Factor of 820,427,571 is 1

Step 1: Since 820 > 427, we apply the division lemma to 820 and 427, to get

820 = 427 x 1 + 393

Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 393 and 427, to get

427 = 393 x 1 + 34

Step 3: We consider the new divisor 393 and the new remainder 34, and apply the division lemma to get

393 = 34 x 11 + 19

We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get

34 = 19 x 1 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 820 and 427 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(393,34) = HCF(427,393) = HCF(820,427) .

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

Step 1: Since 571 > 1, we apply the division lemma to 571 and 1, to get

571 = 1 x 571 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 571 is 1

Notice that 1 = HCF(571,1) .

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Frequently Asked Questions on HCF of 820, 427, 571 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 820, 427, 571?

Answer: HCF of 820, 427, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 820, 427, 571 using Euclid's Algorithm?

Answer: For arbitrary numbers 820, 427, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.