Highest Common Factor of 8668, 6681 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 8668, 6681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8668, 6681 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 8668, 6681 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 8668, 6681 is 1.

HCF(8668, 6681) = 1

HCF of 8668, 6681 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 8668, 6681 is 1.

Highest Common Factor of 8668,6681 using Euclid's algorithm

Highest Common Factor of 8668,6681 is 1

Step 1: Since 8668 > 6681, we apply the division lemma to 8668 and 6681, to get

8668 = 6681 x 1 + 1987

Step 2: Since the reminder 6681 ≠ 0, we apply division lemma to 1987 and 6681, to get

6681 = 1987 x 3 + 720

Step 3: We consider the new divisor 1987 and the new remainder 720, and apply the division lemma to get

1987 = 720 x 2 + 547

We consider the new divisor 720 and the new remainder 547,and apply the division lemma to get

720 = 547 x 1 + 173

We consider the new divisor 547 and the new remainder 173,and apply the division lemma to get

547 = 173 x 3 + 28

We consider the new divisor 173 and the new remainder 28,and apply the division lemma to get

173 = 28 x 6 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 8668 and 6681 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(173,28) = HCF(547,173) = HCF(720,547) = HCF(1987,720) = HCF(6681,1987) = HCF(8668,6681) .

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Frequently Asked Questions on HCF of 8668, 6681 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 8668, 6681?

Answer: HCF of 8668, 6681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8668, 6681 using Euclid's Algorithm?

Answer: For arbitrary numbers 8668, 6681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.