Highest Common Factor of 743, 539, 192 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 743, 539, 192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 743, 539, 192 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 743, 539, 192 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 743, 539, 192 is 1.

HCF(743, 539, 192) = 1

HCF of 743, 539, 192 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 743, 539, 192 is 1.

Highest Common Factor of 743,539,192 using Euclid's algorithm

Highest Common Factor of 743,539,192 is 1

Step 1: Since 743 > 539, we apply the division lemma to 743 and 539, to get

743 = 539 x 1 + 204

Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 204 and 539, to get

539 = 204 x 2 + 131

Step 3: We consider the new divisor 204 and the new remainder 131, and apply the division lemma to get

204 = 131 x 1 + 73

We consider the new divisor 131 and the new remainder 73,and apply the division lemma to get

131 = 73 x 1 + 58

We consider the new divisor 73 and the new remainder 58,and apply the division lemma to get

73 = 58 x 1 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 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 743 and 539 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(73,58) = HCF(131,73) = HCF(204,131) = HCF(539,204) = HCF(743,539) .


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

Step 1: Since 192 > 1, we apply the division lemma to 192 and 1, to get

192 = 1 x 192 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 192 is 1

Notice that 1 = HCF(192,1) .

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Frequently Asked Questions on HCF of 743, 539, 192 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 743, 539, 192?

Answer: HCF of 743, 539, 192 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 743, 539, 192 using Euclid's Algorithm?

Answer: For arbitrary numbers 743, 539, 192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.