Highest Common Factor of 5141, 2942 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 5141, 2942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5141, 2942 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 5141, 2942 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 5141, 2942 is 1.

HCF(5141, 2942) = 1

HCF of 5141, 2942 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 5141, 2942 is 1.

Highest Common Factor of 5141,2942 using Euclid's algorithm

Highest Common Factor of 5141,2942 is 1

Step 1: Since 5141 > 2942, we apply the division lemma to 5141 and 2942, to get

5141 = 2942 x 1 + 2199

Step 2: Since the reminder 2942 ≠ 0, we apply division lemma to 2199 and 2942, to get

2942 = 2199 x 1 + 743

Step 3: We consider the new divisor 2199 and the new remainder 743, and apply the division lemma to get

2199 = 743 x 2 + 713

We consider the new divisor 743 and the new remainder 713,and apply the division lemma to get

743 = 713 x 1 + 30

We consider the new divisor 713 and the new remainder 30,and apply the division lemma to get

713 = 30 x 23 + 23

We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get

30 = 23 x 1 + 7

We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get

23 = 7 x 3 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 5141 and 2942 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(713,30) = HCF(743,713) = HCF(2199,743) = HCF(2942,2199) = HCF(5141,2942) .

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Frequently Asked Questions on HCF of 5141, 2942 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 5141, 2942?

Answer: HCF of 5141, 2942 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5141, 2942 using Euclid's Algorithm?

Answer: For arbitrary numbers 5141, 2942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.