Highest Common Factor of 5139, 4832 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 5139, 4832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5139, 4832 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 5139, 4832 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 5139, 4832 is 1.

HCF(5139, 4832) = 1

HCF of 5139, 4832 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 5139, 4832 is 1.

Highest Common Factor of 5139,4832 using Euclid's algorithm

Highest Common Factor of 5139,4832 is 1

Step 1: Since 5139 > 4832, we apply the division lemma to 5139 and 4832, to get

5139 = 4832 x 1 + 307

Step 2: Since the reminder 4832 ≠ 0, we apply division lemma to 307 and 4832, to get

4832 = 307 x 15 + 227

Step 3: We consider the new divisor 307 and the new remainder 227, and apply the division lemma to get

307 = 227 x 1 + 80

We consider the new divisor 227 and the new remainder 80,and apply the division lemma to get

227 = 80 x 2 + 67

We consider the new divisor 80 and the new remainder 67,and apply the division lemma to get

80 = 67 x 1 + 13

We consider the new divisor 67 and the new remainder 13,and apply the division lemma to get

67 = 13 x 5 + 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 5139 and 4832 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(67,13) = HCF(80,67) = HCF(227,80) = HCF(307,227) = HCF(4832,307) = HCF(5139,4832) .

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Frequently Asked Questions on HCF of 5139, 4832 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 5139, 4832?

Answer: HCF of 5139, 4832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5139, 4832 using Euclid's Algorithm?

Answer: For arbitrary numbers 5139, 4832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.