Highest Common Factor of 6082, 1391, 72481 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 6082, 1391, 72481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6082, 1391, 72481 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 6082, 1391, 72481 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 6082, 1391, 72481 is 1.

HCF(6082, 1391, 72481) = 1

HCF of 6082, 1391, 72481 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 6082, 1391, 72481 is 1.

Highest Common Factor of 6082,1391,72481 using Euclid's algorithm

Highest Common Factor of 6082,1391,72481 is 1

Step 1: Since 6082 > 1391, we apply the division lemma to 6082 and 1391, to get

6082 = 1391 x 4 + 518

Step 2: Since the reminder 1391 ≠ 0, we apply division lemma to 518 and 1391, to get

1391 = 518 x 2 + 355

Step 3: We consider the new divisor 518 and the new remainder 355, and apply the division lemma to get

518 = 355 x 1 + 163

We consider the new divisor 355 and the new remainder 163,and apply the division lemma to get

355 = 163 x 2 + 29

We consider the new divisor 163 and the new remainder 29,and apply the division lemma to get

163 = 29 x 5 + 18

We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get

29 = 18 x 1 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 6082 and 1391 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(163,29) = HCF(355,163) = HCF(518,355) = HCF(1391,518) = HCF(6082,1391) .

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

Step 1: Since 72481 > 1, we apply the division lemma to 72481 and 1, to get

72481 = 1 x 72481 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72481 is 1

Notice that 1 = HCF(72481,1) .

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Frequently Asked Questions on HCF of 6082, 1391, 72481 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 6082, 1391, 72481?

Answer: HCF of 6082, 1391, 72481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6082, 1391, 72481 using Euclid's Algorithm?

Answer: For arbitrary numbers 6082, 1391, 72481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.