Highest Common Factor of 582, 953, 458 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, 953, 458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 582, 953, 458 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, 953, 458 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, 953, 458 is 1.

HCF(582, 953, 458) = 1

HCF of 582, 953, 458 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, 953, 458 is 1.

Highest Common Factor of 582,953,458 using Euclid's algorithm

Highest Common Factor of 582,953,458 is 1

Step 1: Since 953 > 582, we apply the division lemma to 953 and 582, to get

953 = 582 x 1 + 371

Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 371 and 582, to get

582 = 371 x 1 + 211

Step 3: We consider the new divisor 371 and the new remainder 211, and apply the division lemma to get

371 = 211 x 1 + 160

We consider the new divisor 211 and the new remainder 160,and apply the division lemma to get

211 = 160 x 1 + 51

We consider the new divisor 160 and the new remainder 51,and apply the division lemma to get

160 = 51 x 3 + 7

We consider the new divisor 51 and the new remainder 7,and apply the division lemma to get

51 = 7 x 7 + 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 582 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(51,7) = HCF(160,51) = HCF(211,160) = HCF(371,211) = HCF(582,371) = HCF(953,582) .

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

Step 1: Since 458 > 1, we apply the division lemma to 458 and 1, to get

458 = 1 x 458 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 458 is 1

Notice that 1 = HCF(458,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 582, 953, 458 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, 953, 458?

Answer: HCF of 582, 953, 458 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 582, 953, 458 using Euclid's Algorithm?

Answer: For arbitrary numbers 582, 953, 458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.