Highest Common Factor of 5981, 3307, 72010 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 5981, 3307, 72010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5981, 3307, 72010 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 5981, 3307, 72010 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 5981, 3307, 72010 is 1.

HCF(5981, 3307, 72010) = 1

HCF of 5981, 3307, 72010 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 5981, 3307, 72010 is 1.

Highest Common Factor of 5981,3307,72010 using Euclid's algorithm

Highest Common Factor of 5981,3307,72010 is 1

Step 1: Since 5981 > 3307, we apply the division lemma to 5981 and 3307, to get

5981 = 3307 x 1 + 2674

Step 2: Since the reminder 3307 ≠ 0, we apply division lemma to 2674 and 3307, to get

3307 = 2674 x 1 + 633

Step 3: We consider the new divisor 2674 and the new remainder 633, and apply the division lemma to get

2674 = 633 x 4 + 142

We consider the new divisor 633 and the new remainder 142,and apply the division lemma to get

633 = 142 x 4 + 65

We consider the new divisor 142 and the new remainder 65,and apply the division lemma to get

142 = 65 x 2 + 12

We consider the new divisor 65 and the new remainder 12,and apply the division lemma to get

65 = 12 x 5 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5981 and 3307 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(65,12) = HCF(142,65) = HCF(633,142) = HCF(2674,633) = HCF(3307,2674) = HCF(5981,3307) .

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

Step 1: Since 72010 > 1, we apply the division lemma to 72010 and 1, to get

72010 = 1 x 72010 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72010 is 1

Notice that 1 = HCF(72010,1) .

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Frequently Asked Questions on HCF of 5981, 3307, 72010 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 5981, 3307, 72010?

Answer: HCF of 5981, 3307, 72010 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5981, 3307, 72010 using Euclid's Algorithm?

Answer: For arbitrary numbers 5981, 3307, 72010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.