Highest Common Factor of 6139, 5063 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 6139, 5063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6139, 5063 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 6139, 5063 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 6139, 5063 is 1.

HCF(6139, 5063) = 1

HCF of 6139, 5063 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 6139, 5063 is 1.

Highest Common Factor of 6139,5063 using Euclid's algorithm

Highest Common Factor of 6139,5063 is 1

Step 1: Since 6139 > 5063, we apply the division lemma to 6139 and 5063, to get

6139 = 5063 x 1 + 1076

Step 2: Since the reminder 5063 ≠ 0, we apply division lemma to 1076 and 5063, to get

5063 = 1076 x 4 + 759

Step 3: We consider the new divisor 1076 and the new remainder 759, and apply the division lemma to get

1076 = 759 x 1 + 317

We consider the new divisor 759 and the new remainder 317,and apply the division lemma to get

759 = 317 x 2 + 125

We consider the new divisor 317 and the new remainder 125,and apply the division lemma to get

317 = 125 x 2 + 67

We consider the new divisor 125 and the new remainder 67,and apply the division lemma to get

125 = 67 x 1 + 58

We consider the new divisor 67 and the new remainder 58,and apply the division lemma to get

67 = 58 x 1 + 9

We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get

58 = 9 x 6 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 6139 and 5063 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(67,58) = HCF(125,67) = HCF(317,125) = HCF(759,317) = HCF(1076,759) = HCF(5063,1076) = HCF(6139,5063) .

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Frequently Asked Questions on HCF of 6139, 5063 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 6139, 5063?

Answer: HCF of 6139, 5063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6139, 5063 using Euclid's Algorithm?

Answer: For arbitrary numbers 6139, 5063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.