Highest Common Factor of 8041, 5571 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 8041, 5571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8041, 5571 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 8041, 5571 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 8041, 5571 is 1.

HCF(8041, 5571) = 1

HCF of 8041, 5571 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 8041, 5571 is 1.

Highest Common Factor of 8041,5571 using Euclid's algorithm

Highest Common Factor of 8041,5571 is 1

Step 1: Since 8041 > 5571, we apply the division lemma to 8041 and 5571, to get

8041 = 5571 x 1 + 2470

Step 2: Since the reminder 5571 ≠ 0, we apply division lemma to 2470 and 5571, to get

5571 = 2470 x 2 + 631

Step 3: We consider the new divisor 2470 and the new remainder 631, and apply the division lemma to get

2470 = 631 x 3 + 577

We consider the new divisor 631 and the new remainder 577,and apply the division lemma to get

631 = 577 x 1 + 54

We consider the new divisor 577 and the new remainder 54,and apply the division lemma to get

577 = 54 x 10 + 37

We consider the new divisor 54 and the new remainder 37,and apply the division lemma to get

54 = 37 x 1 + 17

We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get

37 = 17 x 2 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8041 and 5571 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(54,37) = HCF(577,54) = HCF(631,577) = HCF(2470,631) = HCF(5571,2470) = HCF(8041,5571) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8041, 5571 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 8041, 5571?

Answer: HCF of 8041, 5571 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8041, 5571 using Euclid's Algorithm?

Answer: For arbitrary numbers 8041, 5571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.