Highest Common Factor of 729, 543, 131 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 729, 543, 131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 729, 543, 131 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 729, 543, 131 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 729, 543, 131 is 1.

HCF(729, 543, 131) = 1

HCF of 729, 543, 131 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 729, 543, 131 is 1.

Highest Common Factor of 729,543,131 using Euclid's algorithm

Highest Common Factor of 729,543,131 is 1

Step 1: Since 729 > 543, we apply the division lemma to 729 and 543, to get

729 = 543 x 1 + 186

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 186 and 543, to get

543 = 186 x 2 + 171

Step 3: We consider the new divisor 186 and the new remainder 171, and apply the division lemma to get

186 = 171 x 1 + 15

We consider the new divisor 171 and the new remainder 15,and apply the division lemma to get

171 = 15 x 11 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 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 729 and 543 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(171,15) = HCF(186,171) = HCF(543,186) = HCF(729,543) .

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

Step 1: Since 131 > 3, we apply the division lemma to 131 and 3, to get

131 = 3 x 43 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 131 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(131,3) .

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Frequently Asked Questions on HCF of 729, 543, 131 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 729, 543, 131?

Answer: HCF of 729, 543, 131 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 729, 543, 131 using Euclid's Algorithm?

Answer: For arbitrary numbers 729, 543, 131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.