Highest Common Factor of 2086, 5784, 56131 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 2086, 5784, 56131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2086, 5784, 56131 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 2086, 5784, 56131 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 2086, 5784, 56131 is 1.

HCF(2086, 5784, 56131) = 1

HCF of 2086, 5784, 56131 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 2086, 5784, 56131 is 1.

Highest Common Factor of 2086,5784,56131 using Euclid's algorithm

Highest Common Factor of 2086,5784,56131 is 1

Step 1: Since 5784 > 2086, we apply the division lemma to 5784 and 2086, to get

5784 = 2086 x 2 + 1612

Step 2: Since the reminder 2086 ≠ 0, we apply division lemma to 1612 and 2086, to get

2086 = 1612 x 1 + 474

Step 3: We consider the new divisor 1612 and the new remainder 474, and apply the division lemma to get

1612 = 474 x 3 + 190

We consider the new divisor 474 and the new remainder 190,and apply the division lemma to get

474 = 190 x 2 + 94

We consider the new divisor 190 and the new remainder 94,and apply the division lemma to get

190 = 94 x 2 + 2

We consider the new divisor 94 and the new remainder 2,and apply the division lemma to get

94 = 2 x 47 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2086 and 5784 is 2

Notice that 2 = HCF(94,2) = HCF(190,94) = HCF(474,190) = HCF(1612,474) = HCF(2086,1612) = HCF(5784,2086) .

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

Step 1: Since 56131 > 2, we apply the division lemma to 56131 and 2, to get

56131 = 2 x 28065 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 56131 is 1

Notice that 1 = HCF(2,1) = HCF(56131,2) .

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Frequently Asked Questions on HCF of 2086, 5784, 56131 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 2086, 5784, 56131?

Answer: HCF of 2086, 5784, 56131 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2086, 5784, 56131 using Euclid's Algorithm?

Answer: For arbitrary numbers 2086, 5784, 56131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.