Highest Common Factor of 5807, 8439 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 5807, 8439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5807, 8439 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 5807, 8439 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 5807, 8439 is 1.

HCF(5807, 8439) = 1

HCF of 5807, 8439 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 5807, 8439 is 1.

Highest Common Factor of 5807,8439 using Euclid's algorithm

Highest Common Factor of 5807,8439 is 1

Step 1: Since 8439 > 5807, we apply the division lemma to 8439 and 5807, to get

8439 = 5807 x 1 + 2632

Step 2: Since the reminder 5807 ≠ 0, we apply division lemma to 2632 and 5807, to get

5807 = 2632 x 2 + 543

Step 3: We consider the new divisor 2632 and the new remainder 543, and apply the division lemma to get

2632 = 543 x 4 + 460

We consider the new divisor 543 and the new remainder 460,and apply the division lemma to get

543 = 460 x 1 + 83

We consider the new divisor 460 and the new remainder 83,and apply the division lemma to get

460 = 83 x 5 + 45

We consider the new divisor 83 and the new remainder 45,and apply the division lemma to get

83 = 45 x 1 + 38

We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get

45 = 38 x 1 + 7

We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get

38 = 7 x 5 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5807 and 8439 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(83,45) = HCF(460,83) = HCF(543,460) = HCF(2632,543) = HCF(5807,2632) = HCF(8439,5807) .

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Frequently Asked Questions on HCF of 5807, 8439 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 5807, 8439?

Answer: HCF of 5807, 8439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5807, 8439 using Euclid's Algorithm?

Answer: For arbitrary numbers 5807, 8439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.