Highest Common Factor of 9333, 8269 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 9333, 8269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9333, 8269 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 9333, 8269 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 9333, 8269 is 1.

HCF(9333, 8269) = 1

HCF of 9333, 8269 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 9333, 8269 is 1.

Highest Common Factor of 9333,8269 using Euclid's algorithm

Highest Common Factor of 9333,8269 is 1

Step 1: Since 9333 > 8269, we apply the division lemma to 9333 and 8269, to get

9333 = 8269 x 1 + 1064

Step 2: Since the reminder 8269 ≠ 0, we apply division lemma to 1064 and 8269, to get

8269 = 1064 x 7 + 821

Step 3: We consider the new divisor 1064 and the new remainder 821, and apply the division lemma to get

1064 = 821 x 1 + 243

We consider the new divisor 821 and the new remainder 243,and apply the division lemma to get

821 = 243 x 3 + 92

We consider the new divisor 243 and the new remainder 92,and apply the division lemma to get

243 = 92 x 2 + 59

We consider the new divisor 92 and the new remainder 59,and apply the division lemma to get

92 = 59 x 1 + 33

We consider the new divisor 59 and the new remainder 33,and apply the division lemma to get

59 = 33 x 1 + 26

We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get

33 = 26 x 1 + 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 9333 and 8269 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(59,33) = HCF(92,59) = HCF(243,92) = HCF(821,243) = HCF(1064,821) = HCF(8269,1064) = HCF(9333,8269) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9333, 8269 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 9333, 8269?

Answer: HCF of 9333, 8269 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9333, 8269 using Euclid's Algorithm?

Answer: For arbitrary numbers 9333, 8269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.