Highest Common Factor of 2697, 8545 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 2697, 8545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2697, 8545 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 2697, 8545 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 2697, 8545 is 1.

HCF(2697, 8545) = 1

HCF of 2697, 8545 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 2697, 8545 is 1.

Highest Common Factor of 2697,8545 using Euclid's algorithm

Highest Common Factor of 2697,8545 is 1

Step 1: Since 8545 > 2697, we apply the division lemma to 8545 and 2697, to get

8545 = 2697 x 3 + 454

Step 2: Since the reminder 2697 ≠ 0, we apply division lemma to 454 and 2697, to get

2697 = 454 x 5 + 427

Step 3: We consider the new divisor 454 and the new remainder 427, and apply the division lemma to get

454 = 427 x 1 + 27

We consider the new divisor 427 and the new remainder 27,and apply the division lemma to get

427 = 27 x 15 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 2697 and 8545 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(427,27) = HCF(454,427) = HCF(2697,454) = HCF(8545,2697) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2697, 8545 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 2697, 8545?

Answer: HCF of 2697, 8545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2697, 8545 using Euclid's Algorithm?

Answer: For arbitrary numbers 2697, 8545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.