Highest Common Factor of 8251, 5286, 80516 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 8251, 5286, 80516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8251, 5286, 80516 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 8251, 5286, 80516 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 8251, 5286, 80516 is 1.

HCF(8251, 5286, 80516) = 1

HCF of 8251, 5286, 80516 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 8251, 5286, 80516 is 1.

Highest Common Factor of 8251,5286,80516 using Euclid's algorithm

Highest Common Factor of 8251,5286,80516 is 1

Step 1: Since 8251 > 5286, we apply the division lemma to 8251 and 5286, to get

8251 = 5286 x 1 + 2965

Step 2: Since the reminder 5286 ≠ 0, we apply division lemma to 2965 and 5286, to get

5286 = 2965 x 1 + 2321

Step 3: We consider the new divisor 2965 and the new remainder 2321, and apply the division lemma to get

2965 = 2321 x 1 + 644

We consider the new divisor 2321 and the new remainder 644,and apply the division lemma to get

2321 = 644 x 3 + 389

We consider the new divisor 644 and the new remainder 389,and apply the division lemma to get

644 = 389 x 1 + 255

We consider the new divisor 389 and the new remainder 255,and apply the division lemma to get

389 = 255 x 1 + 134

We consider the new divisor 255 and the new remainder 134,and apply the division lemma to get

255 = 134 x 1 + 121

We consider the new divisor 134 and the new remainder 121,and apply the division lemma to get

134 = 121 x 1 + 13

We consider the new divisor 121 and the new remainder 13,and apply the division lemma to get

121 = 13 x 9 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8251 and 5286 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(121,13) = HCF(134,121) = HCF(255,134) = HCF(389,255) = HCF(644,389) = HCF(2321,644) = HCF(2965,2321) = HCF(5286,2965) = HCF(8251,5286) .

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

Step 1: Since 80516 > 1, we apply the division lemma to 80516 and 1, to get

80516 = 1 x 80516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80516 is 1

Notice that 1 = HCF(80516,1) .

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Frequently Asked Questions on HCF of 8251, 5286, 80516 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 8251, 5286, 80516?

Answer: HCF of 8251, 5286, 80516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8251, 5286, 80516 using Euclid's Algorithm?

Answer: For arbitrary numbers 8251, 5286, 80516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.