Highest Common Factor of 6283, 4227, 14477 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 6283, 4227, 14477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6283, 4227, 14477 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 6283, 4227, 14477 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 6283, 4227, 14477 is 1.

HCF(6283, 4227, 14477) = 1

HCF of 6283, 4227, 14477 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 6283, 4227, 14477 is 1.

Highest Common Factor of 6283,4227,14477 using Euclid's algorithm

Highest Common Factor of 6283,4227,14477 is 1

Step 1: Since 6283 > 4227, we apply the division lemma to 6283 and 4227, to get

6283 = 4227 x 1 + 2056

Step 2: Since the reminder 4227 ≠ 0, we apply division lemma to 2056 and 4227, to get

4227 = 2056 x 2 + 115

Step 3: We consider the new divisor 2056 and the new remainder 115, and apply the division lemma to get

2056 = 115 x 17 + 101

We consider the new divisor 115 and the new remainder 101,and apply the division lemma to get

115 = 101 x 1 + 14

We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get

101 = 14 x 7 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 6283 and 4227 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(115,101) = HCF(2056,115) = HCF(4227,2056) = HCF(6283,4227) .

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

Step 1: Since 14477 > 1, we apply the division lemma to 14477 and 1, to get

14477 = 1 x 14477 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14477 is 1

Notice that 1 = HCF(14477,1) .

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Frequently Asked Questions on HCF of 6283, 4227, 14477 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 6283, 4227, 14477?

Answer: HCF of 6283, 4227, 14477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6283, 4227, 14477 using Euclid's Algorithm?

Answer: For arbitrary numbers 6283, 4227, 14477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.