Highest Common Factor of 2809, 9031, 27815 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 2809, 9031, 27815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2809, 9031, 27815 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 2809, 9031, 27815 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 2809, 9031, 27815 is 1.

HCF(2809, 9031, 27815) = 1

HCF of 2809, 9031, 27815 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 2809, 9031, 27815 is 1.

Highest Common Factor of 2809,9031,27815 using Euclid's algorithm

Highest Common Factor of 2809,9031,27815 is 1

Step 1: Since 9031 > 2809, we apply the division lemma to 9031 and 2809, to get

9031 = 2809 x 3 + 604

Step 2: Since the reminder 2809 ≠ 0, we apply division lemma to 604 and 2809, to get

2809 = 604 x 4 + 393

Step 3: We consider the new divisor 604 and the new remainder 393, and apply the division lemma to get

604 = 393 x 1 + 211

We consider the new divisor 393 and the new remainder 211,and apply the division lemma to get

393 = 211 x 1 + 182

We consider the new divisor 211 and the new remainder 182,and apply the division lemma to get

211 = 182 x 1 + 29

We consider the new divisor 182 and the new remainder 29,and apply the division lemma to get

182 = 29 x 6 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 2809 and 9031 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(182,29) = HCF(211,182) = HCF(393,211) = HCF(604,393) = HCF(2809,604) = HCF(9031,2809) .

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

Step 1: Since 27815 > 1, we apply the division lemma to 27815 and 1, to get

27815 = 1 x 27815 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27815 is 1

Notice that 1 = HCF(27815,1) .

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Frequently Asked Questions on HCF of 2809, 9031, 27815 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 2809, 9031, 27815?

Answer: HCF of 2809, 9031, 27815 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2809, 9031, 27815 using Euclid's Algorithm?

Answer: For arbitrary numbers 2809, 9031, 27815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.