Highest Common Factor of 8224, 6143 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 8224, 6143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8224, 6143 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 8224, 6143 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 8224, 6143 is 1.

HCF(8224, 6143) = 1

HCF of 8224, 6143 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 8224, 6143 is 1.

Highest Common Factor of 8224,6143 using Euclid's algorithm

Highest Common Factor of 8224,6143 is 1

Step 1: Since 8224 > 6143, we apply the division lemma to 8224 and 6143, to get

8224 = 6143 x 1 + 2081

Step 2: Since the reminder 6143 ≠ 0, we apply division lemma to 2081 and 6143, to get

6143 = 2081 x 2 + 1981

Step 3: We consider the new divisor 2081 and the new remainder 1981, and apply the division lemma to get

2081 = 1981 x 1 + 100

We consider the new divisor 1981 and the new remainder 100,and apply the division lemma to get

1981 = 100 x 19 + 81

We consider the new divisor 100 and the new remainder 81,and apply the division lemma to get

100 = 81 x 1 + 19

We consider the new divisor 81 and the new remainder 19,and apply the division lemma to get

81 = 19 x 4 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8224 and 6143 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(81,19) = HCF(100,81) = HCF(1981,100) = HCF(2081,1981) = HCF(6143,2081) = HCF(8224,6143) .

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Frequently Asked Questions on HCF of 8224, 6143 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 8224, 6143?

Answer: HCF of 8224, 6143 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8224, 6143 using Euclid's Algorithm?

Answer: For arbitrary numbers 8224, 6143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.