Highest Common Factor of 7100, 5819 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 7100, 5819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7100, 5819 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 7100, 5819 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 7100, 5819 is 1.

HCF(7100, 5819) = 1

HCF of 7100, 5819 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 7100, 5819 is 1.

Highest Common Factor of 7100,5819 using Euclid's algorithm

Highest Common Factor of 7100,5819 is 1

Step 1: Since 7100 > 5819, we apply the division lemma to 7100 and 5819, to get

7100 = 5819 x 1 + 1281

Step 2: Since the reminder 5819 ≠ 0, we apply division lemma to 1281 and 5819, to get

5819 = 1281 x 4 + 695

Step 3: We consider the new divisor 1281 and the new remainder 695, and apply the division lemma to get

1281 = 695 x 1 + 586

We consider the new divisor 695 and the new remainder 586,and apply the division lemma to get

695 = 586 x 1 + 109

We consider the new divisor 586 and the new remainder 109,and apply the division lemma to get

586 = 109 x 5 + 41

We consider the new divisor 109 and the new remainder 41,and apply the division lemma to get

109 = 41 x 2 + 27

We consider the new divisor 41 and the new remainder 27,and apply the division lemma to get

41 = 27 x 1 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 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 7100 and 5819 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(41,27) = HCF(109,41) = HCF(586,109) = HCF(695,586) = HCF(1281,695) = HCF(5819,1281) = HCF(7100,5819) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7100, 5819 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 7100, 5819?

Answer: HCF of 7100, 5819 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7100, 5819 using Euclid's Algorithm?

Answer: For arbitrary numbers 7100, 5819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.