Highest Common Factor of 711, 5808, 2816 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 711, 5808, 2816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 711, 5808, 2816 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 711, 5808, 2816 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 711, 5808, 2816 is 1.

HCF(711, 5808, 2816) = 1

HCF of 711, 5808, 2816 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 711, 5808, 2816 is 1.

Highest Common Factor of 711,5808,2816 using Euclid's algorithm

Highest Common Factor of 711,5808,2816 is 1

Step 1: Since 5808 > 711, we apply the division lemma to 5808 and 711, to get

5808 = 711 x 8 + 120

Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 120 and 711, to get

711 = 120 x 5 + 111

Step 3: We consider the new divisor 120 and the new remainder 111, and apply the division lemma to get

120 = 111 x 1 + 9

We consider the new divisor 111 and the new remainder 9,and apply the division lemma to get

111 = 9 x 12 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 711 and 5808 is 3

Notice that 3 = HCF(9,3) = HCF(111,9) = HCF(120,111) = HCF(711,120) = HCF(5808,711) .

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

Step 1: Since 2816 > 3, we apply the division lemma to 2816 and 3, to get

2816 = 3 x 938 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 2816 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(2816,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 711, 5808, 2816 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 711, 5808, 2816?

Answer: HCF of 711, 5808, 2816 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 711, 5808, 2816 using Euclid's Algorithm?

Answer: For arbitrary numbers 711, 5808, 2816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.