Highest Common Factor of 2933, 8069 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 2933, 8069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2933, 8069 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 2933, 8069 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 2933, 8069 is 1.

HCF(2933, 8069) = 1

HCF of 2933, 8069 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2933, 8069 is 1.

Highest Common Factor of 2933,8069 using Euclid's algorithm

Highest Common Factor of 2933,8069 is 1

Step 1: Since 8069 > 2933, we apply the division lemma to 8069 and 2933, to get

8069 = 2933 x 2 + 2203

Step 2: Since the reminder 2933 ≠ 0, we apply division lemma to 2203 and 2933, to get

2933 = 2203 x 1 + 730

Step 3: We consider the new divisor 2203 and the new remainder 730, and apply the division lemma to get

2203 = 730 x 3 + 13

We consider the new divisor 730 and the new remainder 13,and apply the division lemma to get

730 = 13 x 56 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 2933 and 8069 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(730,13) = HCF(2203,730) = HCF(2933,2203) = HCF(8069,2933) .

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Frequently Asked Questions on HCF of 2933, 8069 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 2933, 8069?

Answer: HCF of 2933, 8069 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2933, 8069 using Euclid's Algorithm?

Answer: For arbitrary numbers 2933, 8069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.