Highest Common Factor of 6547, 4481 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 6547, 4481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6547, 4481 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 6547, 4481 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 6547, 4481 is 1.

HCF(6547, 4481) = 1

HCF of 6547, 4481 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6547, 4481 is 1.

Highest Common Factor of 6547,4481 using Euclid's algorithm

Highest Common Factor of 6547,4481 is 1

Step 1: Since 6547 > 4481, we apply the division lemma to 6547 and 4481, to get

6547 = 4481 x 1 + 2066

Step 2: Since the reminder 4481 ≠ 0, we apply division lemma to 2066 and 4481, to get

4481 = 2066 x 2 + 349

Step 3: We consider the new divisor 2066 and the new remainder 349, and apply the division lemma to get

2066 = 349 x 5 + 321

We consider the new divisor 349 and the new remainder 321,and apply the division lemma to get

349 = 321 x 1 + 28

We consider the new divisor 321 and the new remainder 28,and apply the division lemma to get

321 = 28 x 11 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 6547 and 4481 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(321,28) = HCF(349,321) = HCF(2066,349) = HCF(4481,2066) = HCF(6547,4481) .

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Frequently Asked Questions on HCF of 6547, 4481 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 6547, 4481?

Answer: HCF of 6547, 4481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6547, 4481 using Euclid's Algorithm?

Answer: For arbitrary numbers 6547, 4481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.