Highest Common Factor of 871, 477, 423 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, 477, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 477, 423 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, 477, 423 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, 477, 423 is 1.

HCF(871, 477, 423) = 1

HCF of 871, 477, 423 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, 477, 423 is 1.

Highest Common Factor of 871,477,423 using Euclid's algorithm

Highest Common Factor of 871,477,423 is 1

Step 1: Since 871 > 477, we apply the division lemma to 871 and 477, to get

871 = 477 x 1 + 394

Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 394 and 477, to get

477 = 394 x 1 + 83

Step 3: We consider the new divisor 394 and the new remainder 83, and apply the division lemma to get

394 = 83 x 4 + 62

We consider the new divisor 83 and the new remainder 62,and apply the division lemma to get

83 = 62 x 1 + 21

We consider the new divisor 62 and the new remainder 21,and apply the division lemma to get

62 = 21 x 2 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 477 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(83,62) = HCF(394,83) = HCF(477,394) = HCF(871,477) .

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

Step 1: Since 423 > 1, we apply the division lemma to 423 and 1, to get

423 = 1 x 423 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 423 is 1

Notice that 1 = HCF(423,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 871, 477, 423 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, 477, 423?

Answer: HCF of 871, 477, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 477, 423 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 477, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.