Highest Common Factor of 615, 401, 811 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 615, 401, 811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 615, 401, 811 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 615, 401, 811 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 615, 401, 811 is 1.

HCF(615, 401, 811) = 1

HCF of 615, 401, 811 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 615, 401, 811 is 1.

Highest Common Factor of 615,401,811 using Euclid's algorithm

Highest Common Factor of 615,401,811 is 1

Step 1: Since 615 > 401, we apply the division lemma to 615 and 401, to get

615 = 401 x 1 + 214

Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 214 and 401, to get

401 = 214 x 1 + 187

Step 3: We consider the new divisor 214 and the new remainder 187, and apply the division lemma to get

214 = 187 x 1 + 27

We consider the new divisor 187 and the new remainder 27,and apply the division lemma to get

187 = 27 x 6 + 25

We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get

27 = 25 x 1 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 615 and 401 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(187,27) = HCF(214,187) = HCF(401,214) = HCF(615,401) .

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

Step 1: Since 811 > 1, we apply the division lemma to 811 and 1, to get

811 = 1 x 811 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 811 is 1

Notice that 1 = HCF(811,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 615, 401, 811 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 615, 401, 811?

Answer: HCF of 615, 401, 811 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 615, 401, 811 using Euclid's Algorithm?

Answer: For arbitrary numbers 615, 401, 811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.