Highest Common Factor of 548, 9673, 6531 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 548, 9673, 6531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 9673, 6531 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 548, 9673, 6531 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 548, 9673, 6531 is 1.

HCF(548, 9673, 6531) = 1

HCF of 548, 9673, 6531 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 548, 9673, 6531 is 1.

Highest Common Factor of 548,9673,6531 using Euclid's algorithm

Highest Common Factor of 548,9673,6531 is 1

Step 1: Since 9673 > 548, we apply the division lemma to 9673 and 548, to get

9673 = 548 x 17 + 357

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 357 and 548, to get

548 = 357 x 1 + 191

Step 3: We consider the new divisor 357 and the new remainder 191, and apply the division lemma to get

357 = 191 x 1 + 166

We consider the new divisor 191 and the new remainder 166,and apply the division lemma to get

191 = 166 x 1 + 25

We consider the new divisor 166 and the new remainder 25,and apply the division lemma to get

166 = 25 x 6 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 548 and 9673 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(166,25) = HCF(191,166) = HCF(357,191) = HCF(548,357) = HCF(9673,548) .

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

Step 1: Since 6531 > 1, we apply the division lemma to 6531 and 1, to get

6531 = 1 x 6531 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6531 is 1

Notice that 1 = HCF(6531,1) .

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Frequently Asked Questions on HCF of 548, 9673, 6531 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 548, 9673, 6531?

Answer: HCF of 548, 9673, 6531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 9673, 6531 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 9673, 6531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.