Highest Common Factor of 582, 897, 433 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 582, 897, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 582, 897, 433 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 582, 897, 433 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 582, 897, 433 is 1.

HCF(582, 897, 433) = 1

HCF of 582, 897, 433 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 582, 897, 433 is 1.

Highest Common Factor of 582,897,433 using Euclid's algorithm

Highest Common Factor of 582,897,433 is 1

Step 1: Since 897 > 582, we apply the division lemma to 897 and 582, to get

897 = 582 x 1 + 315

Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 315 and 582, to get

582 = 315 x 1 + 267

Step 3: We consider the new divisor 315 and the new remainder 267, and apply the division lemma to get

315 = 267 x 1 + 48

We consider the new divisor 267 and the new remainder 48,and apply the division lemma to get

267 = 48 x 5 + 27

We consider the new divisor 48 and the new remainder 27,and apply the division lemma to get

48 = 27 x 1 + 21

We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get

27 = 21 x 1 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 582 and 897 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(267,48) = HCF(315,267) = HCF(582,315) = HCF(897,582) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 433 > 3, we apply the division lemma to 433 and 3, to get

433 = 3 x 144 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 433 is 1

Notice that 1 = HCF(3,1) = HCF(433,3) .

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Frequently Asked Questions on HCF of 582, 897, 433 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 582, 897, 433?

Answer: HCF of 582, 897, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 582, 897, 433 using Euclid's Algorithm?

Answer: For arbitrary numbers 582, 897, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.