Highest Common Factor of 8220, 6029 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 8220, 6029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8220, 6029 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 8220, 6029 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 8220, 6029 is 1.

HCF(8220, 6029) = 1

HCF of 8220, 6029 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8220, 6029 is 1.

Highest Common Factor of 8220,6029 using Euclid's algorithm

Highest Common Factor of 8220,6029 is 1

Step 1: Since 8220 > 6029, we apply the division lemma to 8220 and 6029, to get

8220 = 6029 x 1 + 2191

Step 2: Since the reminder 6029 ≠ 0, we apply division lemma to 2191 and 6029, to get

6029 = 2191 x 2 + 1647

Step 3: We consider the new divisor 2191 and the new remainder 1647, and apply the division lemma to get

2191 = 1647 x 1 + 544

We consider the new divisor 1647 and the new remainder 544,and apply the division lemma to get

1647 = 544 x 3 + 15

We consider the new divisor 544 and the new remainder 15,and apply the division lemma to get

544 = 15 x 36 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8220 and 6029 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(544,15) = HCF(1647,544) = HCF(2191,1647) = HCF(6029,2191) = HCF(8220,6029) .

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Frequently Asked Questions on HCF of 8220, 6029 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 8220, 6029?

Answer: HCF of 8220, 6029 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8220, 6029 using Euclid's Algorithm?

Answer: For arbitrary numbers 8220, 6029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.