Highest Common Factor of 7081, 2959 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 7081, 2959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7081, 2959 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 7081, 2959 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 7081, 2959 is 1.

HCF(7081, 2959) = 1

HCF of 7081, 2959 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 7081, 2959 is 1.

Highest Common Factor of 7081,2959 using Euclid's algorithm

Highest Common Factor of 7081,2959 is 1

Step 1: Since 7081 > 2959, we apply the division lemma to 7081 and 2959, to get

7081 = 2959 x 2 + 1163

Step 2: Since the reminder 2959 ≠ 0, we apply division lemma to 1163 and 2959, to get

2959 = 1163 x 2 + 633

Step 3: We consider the new divisor 1163 and the new remainder 633, and apply the division lemma to get

1163 = 633 x 1 + 530

We consider the new divisor 633 and the new remainder 530,and apply the division lemma to get

633 = 530 x 1 + 103

We consider the new divisor 530 and the new remainder 103,and apply the division lemma to get

530 = 103 x 5 + 15

We consider the new divisor 103 and the new remainder 15,and apply the division lemma to get

103 = 15 x 6 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 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 7081 and 2959 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(103,15) = HCF(530,103) = HCF(633,530) = HCF(1163,633) = HCF(2959,1163) = HCF(7081,2959) .

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Frequently Asked Questions on HCF of 7081, 2959 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 7081, 2959?

Answer: HCF of 7081, 2959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7081, 2959 using Euclid's Algorithm?

Answer: For arbitrary numbers 7081, 2959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.