Highest Common Factor of 827, 439, 231 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 827, 439, 231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 827, 439, 231 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 827, 439, 231 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 827, 439, 231 is 1.

HCF(827, 439, 231) = 1

HCF of 827, 439, 231 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 827, 439, 231 is 1.

Highest Common Factor of 827,439,231 using Euclid's algorithm

Highest Common Factor of 827,439,231 is 1

Step 1: Since 827 > 439, we apply the division lemma to 827 and 439, to get

827 = 439 x 1 + 388

Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 388 and 439, to get

439 = 388 x 1 + 51

Step 3: We consider the new divisor 388 and the new remainder 51, and apply the division lemma to get

388 = 51 x 7 + 31

We consider the new divisor 51 and the new remainder 31,and apply the division lemma to get

51 = 31 x 1 + 20

We consider the new divisor 31 and the new remainder 20,and apply the division lemma to get

31 = 20 x 1 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 827 and 439 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(31,20) = HCF(51,31) = HCF(388,51) = HCF(439,388) = HCF(827,439) .

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

Step 1: Since 231 > 1, we apply the division lemma to 231 and 1, to get

231 = 1 x 231 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 231 is 1

Notice that 1 = HCF(231,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 827, 439, 231 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 827, 439, 231?

Answer: HCF of 827, 439, 231 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 827, 439, 231 using Euclid's Algorithm?

Answer: For arbitrary numbers 827, 439, 231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.