Highest Common Factor of 578, 861, 635, 582 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 578, 861, 635, 582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 578, 861, 635, 582 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 578, 861, 635, 582 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 578, 861, 635, 582 is 1.

HCF(578, 861, 635, 582) = 1

HCF of 578, 861, 635, 582 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 578, 861, 635, 582 is 1.

Highest Common Factor of 578,861,635,582 using Euclid's algorithm

Highest Common Factor of 578,861,635,582 is 1

Step 1: Since 861 > 578, we apply the division lemma to 861 and 578, to get

861 = 578 x 1 + 283

Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 283 and 578, to get

578 = 283 x 2 + 12

Step 3: We consider the new divisor 283 and the new remainder 12, and apply the division lemma to get

283 = 12 x 23 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 578 and 861 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(283,12) = HCF(578,283) = HCF(861,578) .

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

Step 1: Since 635 > 1, we apply the division lemma to 635 and 1, to get

635 = 1 x 635 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 635 is 1

Notice that 1 = HCF(635,1) .

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

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

582 = 1 x 582 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 582 is 1

Notice that 1 = HCF(582,1) .

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Frequently Asked Questions on HCF of 578, 861, 635, 582 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 578, 861, 635, 582?

Answer: HCF of 578, 861, 635, 582 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 578, 861, 635, 582 using Euclid's Algorithm?

Answer: For arbitrary numbers 578, 861, 635, 582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.