Highest Common Factor of 3030, 2191, 72359 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 3030, 2191, 72359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3030, 2191, 72359 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 3030, 2191, 72359 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 3030, 2191, 72359 is 1.

HCF(3030, 2191, 72359) = 1

HCF of 3030, 2191, 72359 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 3030, 2191, 72359 is 1.

Highest Common Factor of 3030,2191,72359 using Euclid's algorithm

Highest Common Factor of 3030,2191,72359 is 1

Step 1: Since 3030 > 2191, we apply the division lemma to 3030 and 2191, to get

3030 = 2191 x 1 + 839

Step 2: Since the reminder 2191 ≠ 0, we apply division lemma to 839 and 2191, to get

2191 = 839 x 2 + 513

Step 3: We consider the new divisor 839 and the new remainder 513, and apply the division lemma to get

839 = 513 x 1 + 326

We consider the new divisor 513 and the new remainder 326,and apply the division lemma to get

513 = 326 x 1 + 187

We consider the new divisor 326 and the new remainder 187,and apply the division lemma to get

326 = 187 x 1 + 139

We consider the new divisor 187 and the new remainder 139,and apply the division lemma to get

187 = 139 x 1 + 48

We consider the new divisor 139 and the new remainder 48,and apply the division lemma to get

139 = 48 x 2 + 43

We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get

48 = 43 x 1 + 5

We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get

43 = 5 x 8 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 3030 and 2191 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(139,48) = HCF(187,139) = HCF(326,187) = HCF(513,326) = HCF(839,513) = HCF(2191,839) = HCF(3030,2191) .

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

Step 1: Since 72359 > 1, we apply the division lemma to 72359 and 1, to get

72359 = 1 x 72359 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72359 is 1

Notice that 1 = HCF(72359,1) .

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Frequently Asked Questions on HCF of 3030, 2191, 72359 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 3030, 2191, 72359?

Answer: HCF of 3030, 2191, 72359 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3030, 2191, 72359 using Euclid's Algorithm?

Answer: For arbitrary numbers 3030, 2191, 72359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.