Highest Common Factor of 543, 731, 984 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 543, 731, 984 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 543, 731, 984 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 543, 731, 984 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 543, 731, 984 is 1.

HCF(543, 731, 984) = 1

HCF of 543, 731, 984 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 543, 731, 984 is 1.

Highest Common Factor of 543,731,984 using Euclid's algorithm

Highest Common Factor of 543,731,984 is 1

Step 1: Since 731 > 543, we apply the division lemma to 731 and 543, to get

731 = 543 x 1 + 188

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 188 and 543, to get

543 = 188 x 2 + 167

Step 3: We consider the new divisor 188 and the new remainder 167, and apply the division lemma to get

188 = 167 x 1 + 21

We consider the new divisor 167 and the new remainder 21,and apply the division lemma to get

167 = 21 x 7 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 543 and 731 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(167,21) = HCF(188,167) = HCF(543,188) = HCF(731,543) .

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

Step 1: Since 984 > 1, we apply the division lemma to 984 and 1, to get

984 = 1 x 984 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 984 is 1

Notice that 1 = HCF(984,1) .

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Frequently Asked Questions on HCF of 543, 731, 984 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 543, 731, 984?

Answer: HCF of 543, 731, 984 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 543, 731, 984 using Euclid's Algorithm?

Answer: For arbitrary numbers 543, 731, 984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.