Highest Common Factor of 543, 398, 191 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, 398, 191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 543, 398, 191 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, 398, 191 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, 398, 191 is 1.

HCF(543, 398, 191) = 1

HCF of 543, 398, 191 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, 398, 191 is 1.

Highest Common Factor of 543,398,191 using Euclid's algorithm

Highest Common Factor of 543,398,191 is 1

Step 1: Since 543 > 398, we apply the division lemma to 543 and 398, to get

543 = 398 x 1 + 145

Step 2: Since the reminder 398 ≠ 0, we apply division lemma to 145 and 398, to get

398 = 145 x 2 + 108

Step 3: We consider the new divisor 145 and the new remainder 108, and apply the division lemma to get

145 = 108 x 1 + 37

We consider the new divisor 108 and the new remainder 37,and apply the division lemma to get

108 = 37 x 2 + 34

We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get

37 = 34 x 1 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 543 and 398 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(108,37) = HCF(145,108) = HCF(398,145) = HCF(543,398) .


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

Step 1: Since 191 > 1, we apply the division lemma to 191 and 1, to get

191 = 1 x 191 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 191 is 1

Notice that 1 = HCF(191,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 543, 398, 191 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, 398, 191?

Answer: HCF of 543, 398, 191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 543, 398, 191 using Euclid's Algorithm?

Answer: For arbitrary numbers 543, 398, 191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.