Highest Common Factor of 815, 3851 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, 3851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 815, 3851 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, 3851 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, 3851 is 1.

HCF(815, 3851) = 1

HCF of 815, 3851 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, 3851 is 1.

Highest Common Factor of 815,3851 using Euclid's algorithm

Highest Common Factor of 815,3851 is 1

Step 1: Since 3851 > 815, we apply the division lemma to 3851 and 815, to get

3851 = 815 x 4 + 591

Step 2: Since the reminder 815 ≠ 0, we apply division lemma to 591 and 815, to get

815 = 591 x 1 + 224

Step 3: We consider the new divisor 591 and the new remainder 224, and apply the division lemma to get

591 = 224 x 2 + 143

We consider the new divisor 224 and the new remainder 143,and apply the division lemma to get

224 = 143 x 1 + 81

We consider the new divisor 143 and the new remainder 81,and apply the division lemma to get

143 = 81 x 1 + 62

We consider the new divisor 81 and the new remainder 62,and apply the division lemma to get

81 = 62 x 1 + 19

We consider the new divisor 62 and the new remainder 19,and apply the division lemma to get

62 = 19 x 3 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 815 and 3851 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(62,19) = HCF(81,62) = HCF(143,81) = HCF(224,143) = HCF(591,224) = HCF(815,591) = HCF(3851,815) .

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Frequently Asked Questions on HCF of 815, 3851 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, 3851?

Answer: HCF of 815, 3851 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 815, 3851 using Euclid's Algorithm?

Answer: For arbitrary numbers 815, 3851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.