Highest Common Factor of 5143, 7343 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 5143, 7343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5143, 7343 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 5143, 7343 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 5143, 7343 is 1.

HCF(5143, 7343) = 1

HCF of 5143, 7343 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 5143, 7343 is 1.

Highest Common Factor of 5143,7343 using Euclid's algorithm

Highest Common Factor of 5143,7343 is 1

Step 1: Since 7343 > 5143, we apply the division lemma to 7343 and 5143, to get

7343 = 5143 x 1 + 2200

Step 2: Since the reminder 5143 ≠ 0, we apply division lemma to 2200 and 5143, to get

5143 = 2200 x 2 + 743

Step 3: We consider the new divisor 2200 and the new remainder 743, and apply the division lemma to get

2200 = 743 x 2 + 714

We consider the new divisor 743 and the new remainder 714,and apply the division lemma to get

743 = 714 x 1 + 29

We consider the new divisor 714 and the new remainder 29,and apply the division lemma to get

714 = 29 x 24 + 18

We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get

29 = 18 x 1 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5143 and 7343 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(714,29) = HCF(743,714) = HCF(2200,743) = HCF(5143,2200) = HCF(7343,5143) .

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Frequently Asked Questions on HCF of 5143, 7343 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 5143, 7343?

Answer: HCF of 5143, 7343 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5143, 7343 using Euclid's Algorithm?

Answer: For arbitrary numbers 5143, 7343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.