Highest Common Factor of 5135, 3549 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 5135, 3549 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 5135, 3549 is 13 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 5135, 3549 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 5135, 3549 is 13.

HCF(5135, 3549) = 13

HCF of 5135, 3549 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5135, 3549 is 13.

Highest Common Factor of 5135,3549 using Euclid's algorithm

Highest Common Factor of 5135,3549 is 13

Step 1: Since 5135 > 3549, we apply the division lemma to 5135 and 3549, to get

5135 = 3549 x 1 + 1586

Step 2: Since the reminder 3549 ≠ 0, we apply division lemma to 1586 and 3549, to get

3549 = 1586 x 2 + 377

Step 3: We consider the new divisor 1586 and the new remainder 377, and apply the division lemma to get

1586 = 377 x 4 + 78

We consider the new divisor 377 and the new remainder 78,and apply the division lemma to get

377 = 78 x 4 + 65

We consider the new divisor 78 and the new remainder 65,and apply the division lemma to get

78 = 65 x 1 + 13

We consider the new divisor 65 and the new remainder 13,and apply the division lemma to get

65 = 13 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 5135 and 3549 is 13

Notice that 13 = HCF(65,13) = HCF(78,65) = HCF(377,78) = HCF(1586,377) = HCF(3549,1586) = HCF(5135,3549) .

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Frequently Asked Questions on HCF of 5135, 3549 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 5135, 3549?

Answer: HCF of 5135, 3549 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5135, 3549 using Euclid's Algorithm?

Answer: For arbitrary numbers 5135, 3549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.