Highest Common Factor of 580, 376, 392 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, 376, 392 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 376, 392 is 4 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, 376, 392 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, 376, 392 is 4.

HCF(580, 376, 392) = 4

HCF of 580, 376, 392 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, 376, 392 is 4.

Highest Common Factor of 580,376,392 using Euclid's algorithm

Highest Common Factor of 580,376,392 is 4

Step 1: Since 580 > 376, we apply the division lemma to 580 and 376, to get

580 = 376 x 1 + 204

Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 204 and 376, to get

376 = 204 x 1 + 172

Step 3: We consider the new divisor 204 and the new remainder 172, and apply the division lemma to get

204 = 172 x 1 + 32

We consider the new divisor 172 and the new remainder 32,and apply the division lemma to get

172 = 32 x 5 + 12

We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get

32 = 12 x 2 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 580 and 376 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(172,32) = HCF(204,172) = HCF(376,204) = HCF(580,376) .

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

Step 1: Since 392 > 4, we apply the division lemma to 392 and 4, to get

392 = 4 x 98 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 392 is 4

Notice that 4 = HCF(392,4) .

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Frequently Asked Questions on HCF of 580, 376, 392 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, 376, 392?

Answer: HCF of 580, 376, 392 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 376, 392 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 376, 392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.