Highest Common Factor of 8068, 4431 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 8068, 4431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8068, 4431 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 8068, 4431 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 8068, 4431 is 1.

HCF(8068, 4431) = 1

HCF of 8068, 4431 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 8068, 4431 is 1.

Highest Common Factor of 8068,4431 using Euclid's algorithm

Highest Common Factor of 8068,4431 is 1

Step 1: Since 8068 > 4431, we apply the division lemma to 8068 and 4431, to get

8068 = 4431 x 1 + 3637

Step 2: Since the reminder 4431 ≠ 0, we apply division lemma to 3637 and 4431, to get

4431 = 3637 x 1 + 794

Step 3: We consider the new divisor 3637 and the new remainder 794, and apply the division lemma to get

3637 = 794 x 4 + 461

We consider the new divisor 794 and the new remainder 461,and apply the division lemma to get

794 = 461 x 1 + 333

We consider the new divisor 461 and the new remainder 333,and apply the division lemma to get

461 = 333 x 1 + 128

We consider the new divisor 333 and the new remainder 128,and apply the division lemma to get

333 = 128 x 2 + 77

We consider the new divisor 128 and the new remainder 77,and apply the division lemma to get

128 = 77 x 1 + 51

We consider the new divisor 77 and the new remainder 51,and apply the division lemma to get

77 = 51 x 1 + 26

We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get

51 = 26 x 1 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8068 and 4431 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(77,51) = HCF(128,77) = HCF(333,128) = HCF(461,333) = HCF(794,461) = HCF(3637,794) = HCF(4431,3637) = HCF(8068,4431) .

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Frequently Asked Questions on HCF of 8068, 4431 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 8068, 4431?

Answer: HCF of 8068, 4431 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8068, 4431 using Euclid's Algorithm?

Answer: For arbitrary numbers 8068, 4431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.