Highest Common Factor of 5869, 8037 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 5869, 8037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5869, 8037 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 5869, 8037 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 5869, 8037 is 1.

HCF(5869, 8037) = 1

HCF of 5869, 8037 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 5869, 8037 is 1.

Highest Common Factor of 5869,8037 using Euclid's algorithm

Highest Common Factor of 5869,8037 is 1

Step 1: Since 8037 > 5869, we apply the division lemma to 8037 and 5869, to get

8037 = 5869 x 1 + 2168

Step 2: Since the reminder 5869 ≠ 0, we apply division lemma to 2168 and 5869, to get

5869 = 2168 x 2 + 1533

Step 3: We consider the new divisor 2168 and the new remainder 1533, and apply the division lemma to get

2168 = 1533 x 1 + 635

We consider the new divisor 1533 and the new remainder 635,and apply the division lemma to get

1533 = 635 x 2 + 263

We consider the new divisor 635 and the new remainder 263,and apply the division lemma to get

635 = 263 x 2 + 109

We consider the new divisor 263 and the new remainder 109,and apply the division lemma to get

263 = 109 x 2 + 45

We consider the new divisor 109 and the new remainder 45,and apply the division lemma to get

109 = 45 x 2 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5869 and 8037 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(109,45) = HCF(263,109) = HCF(635,263) = HCF(1533,635) = HCF(2168,1533) = HCF(5869,2168) = HCF(8037,5869) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5869, 8037 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 5869, 8037?

Answer: HCF of 5869, 8037 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5869, 8037 using Euclid's Algorithm?

Answer: For arbitrary numbers 5869, 8037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.