Highest Common Factor of 6583, 3452, 28757 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 6583, 3452, 28757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6583, 3452, 28757 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 6583, 3452, 28757 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 6583, 3452, 28757 is 1.

HCF(6583, 3452, 28757) = 1

HCF of 6583, 3452, 28757 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 6583, 3452, 28757 is 1.

Highest Common Factor of 6583,3452,28757 using Euclid's algorithm

Highest Common Factor of 6583,3452,28757 is 1

Step 1: Since 6583 > 3452, we apply the division lemma to 6583 and 3452, to get

6583 = 3452 x 1 + 3131

Step 2: Since the reminder 3452 ≠ 0, we apply division lemma to 3131 and 3452, to get

3452 = 3131 x 1 + 321

Step 3: We consider the new divisor 3131 and the new remainder 321, and apply the division lemma to get

3131 = 321 x 9 + 242

We consider the new divisor 321 and the new remainder 242,and apply the division lemma to get

321 = 242 x 1 + 79

We consider the new divisor 242 and the new remainder 79,and apply the division lemma to get

242 = 79 x 3 + 5

We consider the new divisor 79 and the new remainder 5,and apply the division lemma to get

79 = 5 x 15 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6583 and 3452 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(79,5) = HCF(242,79) = HCF(321,242) = HCF(3131,321) = HCF(3452,3131) = HCF(6583,3452) .

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

Step 1: Since 28757 > 1, we apply the division lemma to 28757 and 1, to get

28757 = 1 x 28757 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28757 is 1

Notice that 1 = HCF(28757,1) .

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Frequently Asked Questions on HCF of 6583, 3452, 28757 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 6583, 3452, 28757?

Answer: HCF of 6583, 3452, 28757 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6583, 3452, 28757 using Euclid's Algorithm?

Answer: For arbitrary numbers 6583, 3452, 28757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.