Highest Common Factor of 3091, 460 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 3091, 460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3091, 460 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 3091, 460 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 3091, 460 is 1.

HCF(3091, 460) = 1

HCF of 3091, 460 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 3091, 460 is 1.

Highest Common Factor of 3091,460 using Euclid's algorithm

Highest Common Factor of 3091,460 is 1

Step 1: Since 3091 > 460, we apply the division lemma to 3091 and 460, to get

3091 = 460 x 6 + 331

Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 331 and 460, to get

460 = 331 x 1 + 129

Step 3: We consider the new divisor 331 and the new remainder 129, and apply the division lemma to get

331 = 129 x 2 + 73

We consider the new divisor 129 and the new remainder 73,and apply the division lemma to get

129 = 73 x 1 + 56

We consider the new divisor 73 and the new remainder 56,and apply the division lemma to get

73 = 56 x 1 + 17

We consider the new divisor 56 and the new remainder 17,and apply the division lemma to get

56 = 17 x 3 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 3091 and 460 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(73,56) = HCF(129,73) = HCF(331,129) = HCF(460,331) = HCF(3091,460) .

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Frequently Asked Questions on HCF of 3091, 460 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 3091, 460?

Answer: HCF of 3091, 460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3091, 460 using Euclid's Algorithm?

Answer: For arbitrary numbers 3091, 460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.