Highest Common Factor of 6811, 2839, 64144 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 6811, 2839, 64144 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6811, 2839, 64144 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 6811, 2839, 64144 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 6811, 2839, 64144 is 1.

HCF(6811, 2839, 64144) = 1

HCF of 6811, 2839, 64144 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 6811, 2839, 64144 is 1.

Highest Common Factor of 6811,2839,64144 using Euclid's algorithm

Highest Common Factor of 6811,2839,64144 is 1

Step 1: Since 6811 > 2839, we apply the division lemma to 6811 and 2839, to get

6811 = 2839 x 2 + 1133

Step 2: Since the reminder 2839 ≠ 0, we apply division lemma to 1133 and 2839, to get

2839 = 1133 x 2 + 573

Step 3: We consider the new divisor 1133 and the new remainder 573, and apply the division lemma to get

1133 = 573 x 1 + 560

We consider the new divisor 573 and the new remainder 560,and apply the division lemma to get

573 = 560 x 1 + 13

We consider the new divisor 560 and the new remainder 13,and apply the division lemma to get

560 = 13 x 43 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6811 and 2839 is 1

Notice that 1 = HCF(13,1) = HCF(560,13) = HCF(573,560) = HCF(1133,573) = HCF(2839,1133) = HCF(6811,2839) .

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

Step 1: Since 64144 > 1, we apply the division lemma to 64144 and 1, to get

64144 = 1 x 64144 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64144 is 1

Notice that 1 = HCF(64144,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6811, 2839, 64144 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 6811, 2839, 64144?

Answer: HCF of 6811, 2839, 64144 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6811, 2839, 64144 using Euclid's Algorithm?

Answer: For arbitrary numbers 6811, 2839, 64144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.