Highest Common Factor of 5933, 9267 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 5933, 9267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5933, 9267 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 5933, 9267 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 5933, 9267 is 1.

HCF(5933, 9267) = 1

HCF of 5933, 9267 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 5933, 9267 is 1.

Highest Common Factor of 5933,9267 using Euclid's algorithm

Highest Common Factor of 5933,9267 is 1

Step 1: Since 9267 > 5933, we apply the division lemma to 9267 and 5933, to get

9267 = 5933 x 1 + 3334

Step 2: Since the reminder 5933 ≠ 0, we apply division lemma to 3334 and 5933, to get

5933 = 3334 x 1 + 2599

Step 3: We consider the new divisor 3334 and the new remainder 2599, and apply the division lemma to get

3334 = 2599 x 1 + 735

We consider the new divisor 2599 and the new remainder 735,and apply the division lemma to get

2599 = 735 x 3 + 394

We consider the new divisor 735 and the new remainder 394,and apply the division lemma to get

735 = 394 x 1 + 341

We consider the new divisor 394 and the new remainder 341,and apply the division lemma to get

394 = 341 x 1 + 53

We consider the new divisor 341 and the new remainder 53,and apply the division lemma to get

341 = 53 x 6 + 23

We consider the new divisor 53 and the new remainder 23,and apply the division lemma to get

53 = 23 x 2 + 7

We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get

23 = 7 x 3 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 5933 and 9267 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(53,23) = HCF(341,53) = HCF(394,341) = HCF(735,394) = HCF(2599,735) = HCF(3334,2599) = HCF(5933,3334) = HCF(9267,5933) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5933, 9267 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 5933, 9267?

Answer: HCF of 5933, 9267 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5933, 9267 using Euclid's Algorithm?

Answer: For arbitrary numbers 5933, 9267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.