Highest Common Factor of 5331, 460 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 5331, 460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5331, 460 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 5331, 460 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 5331, 460 is 1.

HCF(5331, 460) = 1

HCF of 5331, 460 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 5331, 460 is 1.

Highest Common Factor of 5331,460 using Euclid's algorithm

Highest Common Factor of 5331,460 is 1

Step 1: Since 5331 > 460, we apply the division lemma to 5331 and 460, to get

5331 = 460 x 11 + 271

Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 271 and 460, to get

460 = 271 x 1 + 189

Step 3: We consider the new divisor 271 and the new remainder 189, and apply the division lemma to get

271 = 189 x 1 + 82

We consider the new divisor 189 and the new remainder 82,and apply the division lemma to get

189 = 82 x 2 + 25

We consider the new divisor 82 and the new remainder 25,and apply the division lemma to get

82 = 25 x 3 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 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 5331 and 460 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(82,25) = HCF(189,82) = HCF(271,189) = HCF(460,271) = HCF(5331,460) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5331, 460 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 5331, 460?

Answer: HCF of 5331, 460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5331, 460 using Euclid's Algorithm?

Answer: For arbitrary numbers 5331, 460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.