Highest Common Factor of 583, 811, 478 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 583, 811, 478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 583, 811, 478 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 583, 811, 478 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 583, 811, 478 is 1.

HCF(583, 811, 478) = 1

HCF of 583, 811, 478 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 583, 811, 478 is 1.

Highest Common Factor of 583,811,478 using Euclid's algorithm

Highest Common Factor of 583,811,478 is 1

Step 1: Since 811 > 583, we apply the division lemma to 811 and 583, to get

811 = 583 x 1 + 228

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 228 and 583, to get

583 = 228 x 2 + 127

Step 3: We consider the new divisor 228 and the new remainder 127, and apply the division lemma to get

228 = 127 x 1 + 101

We consider the new divisor 127 and the new remainder 101,and apply the division lemma to get

127 = 101 x 1 + 26

We consider the new divisor 101 and the new remainder 26,and apply the division lemma to get

101 = 26 x 3 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 583 and 811 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(127,101) = HCF(228,127) = HCF(583,228) = HCF(811,583) .

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

Step 1: Since 478 > 1, we apply the division lemma to 478 and 1, to get

478 = 1 x 478 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 478 is 1

Notice that 1 = HCF(478,1) .

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Frequently Asked Questions on HCF of 583, 811, 478 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 583, 811, 478?

Answer: HCF of 583, 811, 478 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 583, 811, 478 using Euclid's Algorithm?

Answer: For arbitrary numbers 583, 811, 478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.