Highest Common Factor of 3476, 8441 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 3476, 8441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3476, 8441 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 3476, 8441 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 3476, 8441 is 1.

HCF(3476, 8441) = 1

HCF of 3476, 8441 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 3476, 8441 is 1.

Highest Common Factor of 3476,8441 using Euclid's algorithm

Highest Common Factor of 3476,8441 is 1

Step 1: Since 8441 > 3476, we apply the division lemma to 8441 and 3476, to get

8441 = 3476 x 2 + 1489

Step 2: Since the reminder 3476 ≠ 0, we apply division lemma to 1489 and 3476, to get

3476 = 1489 x 2 + 498

Step 3: We consider the new divisor 1489 and the new remainder 498, and apply the division lemma to get

1489 = 498 x 2 + 493

We consider the new divisor 498 and the new remainder 493,and apply the division lemma to get

498 = 493 x 1 + 5

We consider the new divisor 493 and the new remainder 5,and apply the division lemma to get

493 = 5 x 98 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 3476 and 8441 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(493,5) = HCF(498,493) = HCF(1489,498) = HCF(3476,1489) = HCF(8441,3476) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3476, 8441 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 3476, 8441?

Answer: HCF of 3476, 8441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3476, 8441 using Euclid's Algorithm?

Answer: For arbitrary numbers 3476, 8441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.