Highest Common Factor of 8267, 5284 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 8267, 5284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8267, 5284 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 8267, 5284 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 8267, 5284 is 1.

HCF(8267, 5284) = 1

HCF of 8267, 5284 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 8267, 5284 is 1.

Highest Common Factor of 8267,5284 using Euclid's algorithm

Highest Common Factor of 8267,5284 is 1

Step 1: Since 8267 > 5284, we apply the division lemma to 8267 and 5284, to get

8267 = 5284 x 1 + 2983

Step 2: Since the reminder 5284 ≠ 0, we apply division lemma to 2983 and 5284, to get

5284 = 2983 x 1 + 2301

Step 3: We consider the new divisor 2983 and the new remainder 2301, and apply the division lemma to get

2983 = 2301 x 1 + 682

We consider the new divisor 2301 and the new remainder 682,and apply the division lemma to get

2301 = 682 x 3 + 255

We consider the new divisor 682 and the new remainder 255,and apply the division lemma to get

682 = 255 x 2 + 172

We consider the new divisor 255 and the new remainder 172,and apply the division lemma to get

255 = 172 x 1 + 83

We consider the new divisor 172 and the new remainder 83,and apply the division lemma to get

172 = 83 x 2 + 6

We consider the new divisor 83 and the new remainder 6,and apply the division lemma to get

83 = 6 x 13 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8267 and 5284 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(83,6) = HCF(172,83) = HCF(255,172) = HCF(682,255) = HCF(2301,682) = HCF(2983,2301) = HCF(5284,2983) = HCF(8267,5284) .

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Frequently Asked Questions on HCF of 8267, 5284 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 8267, 5284?

Answer: HCF of 8267, 5284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8267, 5284 using Euclid's Algorithm?

Answer: For arbitrary numbers 8267, 5284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.