Highest Common Factor of 481, 6073 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 481, 6073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 6073 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 481, 6073 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 481, 6073 is 1.

HCF(481, 6073) = 1

HCF of 481, 6073 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 481, 6073 is 1.

Highest Common Factor of 481,6073 using Euclid's algorithm

Highest Common Factor of 481,6073 is 1

Step 1: Since 6073 > 481, we apply the division lemma to 6073 and 481, to get

6073 = 481 x 12 + 301

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 301 and 481, to get

481 = 301 x 1 + 180

Step 3: We consider the new divisor 301 and the new remainder 180, and apply the division lemma to get

301 = 180 x 1 + 121

We consider the new divisor 180 and the new remainder 121,and apply the division lemma to get

180 = 121 x 1 + 59

We consider the new divisor 121 and the new remainder 59,and apply the division lemma to get

121 = 59 x 2 + 3

We consider the new divisor 59 and the new remainder 3,and apply the division lemma to get

59 = 3 x 19 + 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 481 and 6073 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(59,3) = HCF(121,59) = HCF(180,121) = HCF(301,180) = HCF(481,301) = HCF(6073,481) .

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Frequently Asked Questions on HCF of 481, 6073 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 481, 6073?

Answer: HCF of 481, 6073 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 6073 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 6073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.