Highest Common Factor of 8081, 3133, 75329 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 8081, 3133, 75329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8081, 3133, 75329 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 8081, 3133, 75329 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 8081, 3133, 75329 is 1.

HCF(8081, 3133, 75329) = 1

HCF of 8081, 3133, 75329 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 8081, 3133, 75329 is 1.

Highest Common Factor of 8081,3133,75329 using Euclid's algorithm

Highest Common Factor of 8081,3133,75329 is 1

Step 1: Since 8081 > 3133, we apply the division lemma to 8081 and 3133, to get

8081 = 3133 x 2 + 1815

Step 2: Since the reminder 3133 ≠ 0, we apply division lemma to 1815 and 3133, to get

3133 = 1815 x 1 + 1318

Step 3: We consider the new divisor 1815 and the new remainder 1318, and apply the division lemma to get

1815 = 1318 x 1 + 497

We consider the new divisor 1318 and the new remainder 497,and apply the division lemma to get

1318 = 497 x 2 + 324

We consider the new divisor 497 and the new remainder 324,and apply the division lemma to get

497 = 324 x 1 + 173

We consider the new divisor 324 and the new remainder 173,and apply the division lemma to get

324 = 173 x 1 + 151

We consider the new divisor 173 and the new remainder 151,and apply the division lemma to get

173 = 151 x 1 + 22

We consider the new divisor 151 and the new remainder 22,and apply the division lemma to get

151 = 22 x 6 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 8081 and 3133 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(151,22) = HCF(173,151) = HCF(324,173) = HCF(497,324) = HCF(1318,497) = HCF(1815,1318) = HCF(3133,1815) = HCF(8081,3133) .

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

Step 1: Since 75329 > 1, we apply the division lemma to 75329 and 1, to get

75329 = 1 x 75329 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75329 is 1

Notice that 1 = HCF(75329,1) .

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Frequently Asked Questions on HCF of 8081, 3133, 75329 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 8081, 3133, 75329?

Answer: HCF of 8081, 3133, 75329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8081, 3133, 75329 using Euclid's Algorithm?

Answer: For arbitrary numbers 8081, 3133, 75329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.