Highest Common Factor of 5051, 9340 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 5051, 9340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5051, 9340 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 5051, 9340 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 5051, 9340 is 1.

HCF(5051, 9340) = 1

HCF of 5051, 9340 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 5051, 9340 is 1.

Highest Common Factor of 5051,9340 using Euclid's algorithm

Highest Common Factor of 5051,9340 is 1

Step 1: Since 9340 > 5051, we apply the division lemma to 9340 and 5051, to get

9340 = 5051 x 1 + 4289

Step 2: Since the reminder 5051 ≠ 0, we apply division lemma to 4289 and 5051, to get

5051 = 4289 x 1 + 762

Step 3: We consider the new divisor 4289 and the new remainder 762, and apply the division lemma to get

4289 = 762 x 5 + 479

We consider the new divisor 762 and the new remainder 479,and apply the division lemma to get

762 = 479 x 1 + 283

We consider the new divisor 479 and the new remainder 283,and apply the division lemma to get

479 = 283 x 1 + 196

We consider the new divisor 283 and the new remainder 196,and apply the division lemma to get

283 = 196 x 1 + 87

We consider the new divisor 196 and the new remainder 87,and apply the division lemma to get

196 = 87 x 2 + 22

We consider the new divisor 87 and the new remainder 22,and apply the division lemma to get

87 = 22 x 3 + 21

We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get

22 = 21 x 1 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5051 and 9340 is 1

Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(87,22) = HCF(196,87) = HCF(283,196) = HCF(479,283) = HCF(762,479) = HCF(4289,762) = HCF(5051,4289) = HCF(9340,5051) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5051, 9340 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 5051, 9340?

Answer: HCF of 5051, 9340 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5051, 9340 using Euclid's Algorithm?

Answer: For arbitrary numbers 5051, 9340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.