Highest Common Factor of 2681, 7655 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 2681, 7655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2681, 7655 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 2681, 7655 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 2681, 7655 is 1.

HCF(2681, 7655) = 1

HCF of 2681, 7655 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 2681, 7655 is 1.

Highest Common Factor of 2681,7655 using Euclid's algorithm

Highest Common Factor of 2681,7655 is 1

Step 1: Since 7655 > 2681, we apply the division lemma to 7655 and 2681, to get

7655 = 2681 x 2 + 2293

Step 2: Since the reminder 2681 ≠ 0, we apply division lemma to 2293 and 2681, to get

2681 = 2293 x 1 + 388

Step 3: We consider the new divisor 2293 and the new remainder 388, and apply the division lemma to get

2293 = 388 x 5 + 353

We consider the new divisor 388 and the new remainder 353,and apply the division lemma to get

388 = 353 x 1 + 35

We consider the new divisor 353 and the new remainder 35,and apply the division lemma to get

353 = 35 x 10 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 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 2681 and 7655 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(353,35) = HCF(388,353) = HCF(2293,388) = HCF(2681,2293) = HCF(7655,2681) .

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Frequently Asked Questions on HCF of 2681, 7655 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 2681, 7655?

Answer: HCF of 2681, 7655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2681, 7655 using Euclid's Algorithm?

Answer: For arbitrary numbers 2681, 7655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.