Highest Common Factor of 280, 131, 284 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 280, 131, 284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 280, 131, 284 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 280, 131, 284 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 280, 131, 284 is 1.

HCF(280, 131, 284) = 1

HCF of 280, 131, 284 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 280, 131, 284 is 1.

Highest Common Factor of 280,131,284 using Euclid's algorithm

Highest Common Factor of 280,131,284 is 1

Step 1: Since 280 > 131, we apply the division lemma to 280 and 131, to get

280 = 131 x 2 + 18

Step 2: Since the reminder 131 ≠ 0, we apply division lemma to 18 and 131, to get

131 = 18 x 7 + 5

Step 3: We consider the new divisor 18 and the new remainder 5, and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 280 and 131 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(131,18) = HCF(280,131) .

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

Step 1: Since 284 > 1, we apply the division lemma to 284 and 1, to get

284 = 1 x 284 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 284 is 1

Notice that 1 = HCF(284,1) .

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Frequently Asked Questions on HCF of 280, 131, 284 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 280, 131, 284?

Answer: HCF of 280, 131, 284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 280, 131, 284 using Euclid's Algorithm?

Answer: For arbitrary numbers 280, 131, 284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.