Highest Common Factor of 542, 2483, 9613 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 542, 2483, 9613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 2483, 9613 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 542, 2483, 9613 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 542, 2483, 9613 is 1.

HCF(542, 2483, 9613) = 1

HCF of 542, 2483, 9613 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 542, 2483, 9613 is 1.

Highest Common Factor of 542,2483,9613 using Euclid's algorithm

Highest Common Factor of 542,2483,9613 is 1

Step 1: Since 2483 > 542, we apply the division lemma to 2483 and 542, to get

2483 = 542 x 4 + 315

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 315 and 542, to get

542 = 315 x 1 + 227

Step 3: We consider the new divisor 315 and the new remainder 227, and apply the division lemma to get

315 = 227 x 1 + 88

We consider the new divisor 227 and the new remainder 88,and apply the division lemma to get

227 = 88 x 2 + 51

We consider the new divisor 88 and the new remainder 51,and apply the division lemma to get

88 = 51 x 1 + 37

We consider the new divisor 51 and the new remainder 37,and apply the division lemma to get

51 = 37 x 1 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 542 and 2483 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(51,37) = HCF(88,51) = HCF(227,88) = HCF(315,227) = HCF(542,315) = HCF(2483,542) .

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

Step 1: Since 9613 > 1, we apply the division lemma to 9613 and 1, to get

9613 = 1 x 9613 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9613 is 1

Notice that 1 = HCF(9613,1) .

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Frequently Asked Questions on HCF of 542, 2483, 9613 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 542, 2483, 9613?

Answer: HCF of 542, 2483, 9613 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 2483, 9613 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 2483, 9613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.