Highest Common Factor of 8289, 5127 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 8289, 5127 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 8289, 5127 is 3 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 8289, 5127 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 8289, 5127 is 3.

HCF(8289, 5127) = 3

HCF of 8289, 5127 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 8289, 5127 is 3.

Highest Common Factor of 8289,5127 using Euclid's algorithm

Highest Common Factor of 8289,5127 is 3

Step 1: Since 8289 > 5127, we apply the division lemma to 8289 and 5127, to get

8289 = 5127 x 1 + 3162

Step 2: Since the reminder 5127 ≠ 0, we apply division lemma to 3162 and 5127, to get

5127 = 3162 x 1 + 1965

Step 3: We consider the new divisor 3162 and the new remainder 1965, and apply the division lemma to get

3162 = 1965 x 1 + 1197

We consider the new divisor 1965 and the new remainder 1197,and apply the division lemma to get

1965 = 1197 x 1 + 768

We consider the new divisor 1197 and the new remainder 768,and apply the division lemma to get

1197 = 768 x 1 + 429

We consider the new divisor 768 and the new remainder 429,and apply the division lemma to get

768 = 429 x 1 + 339

We consider the new divisor 429 and the new remainder 339,and apply the division lemma to get

429 = 339 x 1 + 90

We consider the new divisor 339 and the new remainder 90,and apply the division lemma to get

339 = 90 x 3 + 69

We consider the new divisor 90 and the new remainder 69,and apply the division lemma to get

90 = 69 x 1 + 21

We consider the new divisor 69 and the new remainder 21,and apply the division lemma to get

69 = 21 x 3 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8289 and 5127 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(69,21) = HCF(90,69) = HCF(339,90) = HCF(429,339) = HCF(768,429) = HCF(1197,768) = HCF(1965,1197) = HCF(3162,1965) = HCF(5127,3162) = HCF(8289,5127) .

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Frequently Asked Questions on HCF of 8289, 5127 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 8289, 5127?

Answer: HCF of 8289, 5127 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8289, 5127 using Euclid's Algorithm?

Answer: For arbitrary numbers 8289, 5127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.