Highest Common Factor of 2593, 5911, 94233 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 2593, 5911, 94233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2593, 5911, 94233 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 2593, 5911, 94233 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 2593, 5911, 94233 is 1.

HCF(2593, 5911, 94233) = 1

HCF of 2593, 5911, 94233 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 2593, 5911, 94233 is 1.

Highest Common Factor of 2593,5911,94233 using Euclid's algorithm

Highest Common Factor of 2593,5911,94233 is 1

Step 1: Since 5911 > 2593, we apply the division lemma to 5911 and 2593, to get

5911 = 2593 x 2 + 725

Step 2: Since the reminder 2593 ≠ 0, we apply division lemma to 725 and 2593, to get

2593 = 725 x 3 + 418

Step 3: We consider the new divisor 725 and the new remainder 418, and apply the division lemma to get

725 = 418 x 1 + 307

We consider the new divisor 418 and the new remainder 307,and apply the division lemma to get

418 = 307 x 1 + 111

We consider the new divisor 307 and the new remainder 111,and apply the division lemma to get

307 = 111 x 2 + 85

We consider the new divisor 111 and the new remainder 85,and apply the division lemma to get

111 = 85 x 1 + 26

We consider the new divisor 85 and the new remainder 26,and apply the division lemma to get

85 = 26 x 3 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 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 2593 and 5911 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(85,26) = HCF(111,85) = HCF(307,111) = HCF(418,307) = HCF(725,418) = HCF(2593,725) = HCF(5911,2593) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 94233 > 1, we apply the division lemma to 94233 and 1, to get

94233 = 1 x 94233 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94233 is 1

Notice that 1 = HCF(94233,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2593, 5911, 94233 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 2593, 5911, 94233?

Answer: HCF of 2593, 5911, 94233 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2593, 5911, 94233 using Euclid's Algorithm?

Answer: For arbitrary numbers 2593, 5911, 94233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.