Highest Common Factor of 5184, 4079 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 5184, 4079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5184, 4079 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 5184, 4079 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 5184, 4079 is 1.

HCF(5184, 4079) = 1

HCF of 5184, 4079 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 5184, 4079 is 1.

Highest Common Factor of 5184,4079 using Euclid's algorithm

Highest Common Factor of 5184,4079 is 1

Step 1: Since 5184 > 4079, we apply the division lemma to 5184 and 4079, to get

5184 = 4079 x 1 + 1105

Step 2: Since the reminder 4079 ≠ 0, we apply division lemma to 1105 and 4079, to get

4079 = 1105 x 3 + 764

Step 3: We consider the new divisor 1105 and the new remainder 764, and apply the division lemma to get

1105 = 764 x 1 + 341

We consider the new divisor 764 and the new remainder 341,and apply the division lemma to get

764 = 341 x 2 + 82

We consider the new divisor 341 and the new remainder 82,and apply the division lemma to get

341 = 82 x 4 + 13

We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get

82 = 13 x 6 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 5184 and 4079 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(341,82) = HCF(764,341) = HCF(1105,764) = HCF(4079,1105) = HCF(5184,4079) .

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Frequently Asked Questions on HCF of 5184, 4079 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 5184, 4079?

Answer: HCF of 5184, 4079 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5184, 4079 using Euclid's Algorithm?

Answer: For arbitrary numbers 5184, 4079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.