Highest Common Factor of 8595, 2380, 58781 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 8595, 2380, 58781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8595, 2380, 58781 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 8595, 2380, 58781 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 8595, 2380, 58781 is 1.

HCF(8595, 2380, 58781) = 1

HCF of 8595, 2380, 58781 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 8595, 2380, 58781 is 1.

Highest Common Factor of 8595,2380,58781 using Euclid's algorithm

Highest Common Factor of 8595,2380,58781 is 1

Step 1: Since 8595 > 2380, we apply the division lemma to 8595 and 2380, to get

8595 = 2380 x 3 + 1455

Step 2: Since the reminder 2380 ≠ 0, we apply division lemma to 1455 and 2380, to get

2380 = 1455 x 1 + 925

Step 3: We consider the new divisor 1455 and the new remainder 925, and apply the division lemma to get

1455 = 925 x 1 + 530

We consider the new divisor 925 and the new remainder 530,and apply the division lemma to get

925 = 530 x 1 + 395

We consider the new divisor 530 and the new remainder 395,and apply the division lemma to get

530 = 395 x 1 + 135

We consider the new divisor 395 and the new remainder 135,and apply the division lemma to get

395 = 135 x 2 + 125

We consider the new divisor 135 and the new remainder 125,and apply the division lemma to get

135 = 125 x 1 + 10

We consider the new divisor 125 and the new remainder 10,and apply the division lemma to get

125 = 10 x 12 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8595 and 2380 is 5

Notice that 5 = HCF(10,5) = HCF(125,10) = HCF(135,125) = HCF(395,135) = HCF(530,395) = HCF(925,530) = HCF(1455,925) = HCF(2380,1455) = HCF(8595,2380) .

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

Step 1: Since 58781 > 5, we apply the division lemma to 58781 and 5, to get

58781 = 5 x 11756 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 58781 is 1

Notice that 1 = HCF(5,1) = HCF(58781,5) .

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Frequently Asked Questions on HCF of 8595, 2380, 58781 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 8595, 2380, 58781?

Answer: HCF of 8595, 2380, 58781 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8595, 2380, 58781 using Euclid's Algorithm?

Answer: For arbitrary numbers 8595, 2380, 58781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.