Highest Common Factor of 2361, 9059 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 2361, 9059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2361, 9059 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 2361, 9059 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 2361, 9059 is 1.

HCF(2361, 9059) = 1

HCF of 2361, 9059 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 2361, 9059 is 1.

Highest Common Factor of 2361,9059 using Euclid's algorithm

Highest Common Factor of 2361,9059 is 1

Step 1: Since 9059 > 2361, we apply the division lemma to 9059 and 2361, to get

9059 = 2361 x 3 + 1976

Step 2: Since the reminder 2361 ≠ 0, we apply division lemma to 1976 and 2361, to get

2361 = 1976 x 1 + 385

Step 3: We consider the new divisor 1976 and the new remainder 385, and apply the division lemma to get

1976 = 385 x 5 + 51

We consider the new divisor 385 and the new remainder 51,and apply the division lemma to get

385 = 51 x 7 + 28

We consider the new divisor 51 and the new remainder 28,and apply the division lemma to get

51 = 28 x 1 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 2361 and 9059 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(51,28) = HCF(385,51) = HCF(1976,385) = HCF(2361,1976) = HCF(9059,2361) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2361, 9059 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 2361, 9059?

Answer: HCF of 2361, 9059 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2361, 9059 using Euclid's Algorithm?

Answer: For arbitrary numbers 2361, 9059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.