Highest Common Factor of 580, 223, 381 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 580, 223, 381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 223, 381 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 580, 223, 381 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 580, 223, 381 is 1.

HCF(580, 223, 381) = 1

HCF of 580, 223, 381 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 580, 223, 381 is 1.

Highest Common Factor of 580,223,381 using Euclid's algorithm

Highest Common Factor of 580,223,381 is 1

Step 1: Since 580 > 223, we apply the division lemma to 580 and 223, to get

580 = 223 x 2 + 134

Step 2: Since the reminder 223 ≠ 0, we apply division lemma to 134 and 223, to get

223 = 134 x 1 + 89

Step 3: We consider the new divisor 134 and the new remainder 89, and apply the division lemma to get

134 = 89 x 1 + 45

We consider the new divisor 89 and the new remainder 45,and apply the division lemma to get

89 = 45 x 1 + 44

We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get

45 = 44 x 1 + 1

We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get

44 = 1 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 223 is 1

Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(89,45) = HCF(134,89) = HCF(223,134) = HCF(580,223) .

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

Step 1: Since 381 > 1, we apply the division lemma to 381 and 1, to get

381 = 1 x 381 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 381 is 1

Notice that 1 = HCF(381,1) .

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Frequently Asked Questions on HCF of 580, 223, 381 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 580, 223, 381?

Answer: HCF of 580, 223, 381 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 223, 381 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 223, 381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.