Highest Common Factor of 6081, 8644, 94657 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 6081, 8644, 94657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6081, 8644, 94657 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 6081, 8644, 94657 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 6081, 8644, 94657 is 1.

HCF(6081, 8644, 94657) = 1

HCF of 6081, 8644, 94657 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 6081, 8644, 94657 is 1.

Highest Common Factor of 6081,8644,94657 using Euclid's algorithm

Highest Common Factor of 6081,8644,94657 is 1

Step 1: Since 8644 > 6081, we apply the division lemma to 8644 and 6081, to get

8644 = 6081 x 1 + 2563

Step 2: Since the reminder 6081 ≠ 0, we apply division lemma to 2563 and 6081, to get

6081 = 2563 x 2 + 955

Step 3: We consider the new divisor 2563 and the new remainder 955, and apply the division lemma to get

2563 = 955 x 2 + 653

We consider the new divisor 955 and the new remainder 653,and apply the division lemma to get

955 = 653 x 1 + 302

We consider the new divisor 653 and the new remainder 302,and apply the division lemma to get

653 = 302 x 2 + 49

We consider the new divisor 302 and the new remainder 49,and apply the division lemma to get

302 = 49 x 6 + 8

We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get

49 = 8 x 6 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6081 and 8644 is 1

Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(302,49) = HCF(653,302) = HCF(955,653) = HCF(2563,955) = HCF(6081,2563) = HCF(8644,6081) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 94657 > 1, we apply the division lemma to 94657 and 1, to get

94657 = 1 x 94657 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94657 is 1

Notice that 1 = HCF(94657,1) .

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Frequently Asked Questions on HCF of 6081, 8644, 94657 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 6081, 8644, 94657?

Answer: HCF of 6081, 8644, 94657 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6081, 8644, 94657 using Euclid's Algorithm?

Answer: For arbitrary numbers 6081, 8644, 94657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.