Highest Common Factor of 815, 5338, 8565 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 815, 5338, 8565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 815, 5338, 8565 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 815, 5338, 8565 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 815, 5338, 8565 is 1.

HCF(815, 5338, 8565) = 1

HCF of 815, 5338, 8565 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 815, 5338, 8565 is 1.

Highest Common Factor of 815,5338,8565 using Euclid's algorithm

Highest Common Factor of 815,5338,8565 is 1

Step 1: Since 5338 > 815, we apply the division lemma to 5338 and 815, to get

5338 = 815 x 6 + 448

Step 2: Since the reminder 815 ≠ 0, we apply division lemma to 448 and 815, to get

815 = 448 x 1 + 367

Step 3: We consider the new divisor 448 and the new remainder 367, and apply the division lemma to get

448 = 367 x 1 + 81

We consider the new divisor 367 and the new remainder 81,and apply the division lemma to get

367 = 81 x 4 + 43

We consider the new divisor 81 and the new remainder 43,and apply the division lemma to get

81 = 43 x 1 + 38

We consider the new divisor 43 and the new remainder 38,and apply the division lemma to get

43 = 38 x 1 + 5

We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get

38 = 5 x 7 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 815 and 5338 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(43,38) = HCF(81,43) = HCF(367,81) = HCF(448,367) = HCF(815,448) = HCF(5338,815) .

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

Step 1: Since 8565 > 1, we apply the division lemma to 8565 and 1, to get

8565 = 1 x 8565 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8565 is 1

Notice that 1 = HCF(8565,1) .

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Frequently Asked Questions on HCF of 815, 5338, 8565 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 815, 5338, 8565?

Answer: HCF of 815, 5338, 8565 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 815, 5338, 8565 using Euclid's Algorithm?

Answer: For arbitrary numbers 815, 5338, 8565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.