Highest Common Factor of 580, 923, 119 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, 923, 119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 923, 119 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, 923, 119 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, 923, 119 is 1.

HCF(580, 923, 119) = 1

HCF of 580, 923, 119 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, 923, 119 is 1.

Highest Common Factor of 580,923,119 using Euclid's algorithm

Highest Common Factor of 580,923,119 is 1

Step 1: Since 923 > 580, we apply the division lemma to 923 and 580, to get

923 = 580 x 1 + 343

Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 343 and 580, to get

580 = 343 x 1 + 237

Step 3: We consider the new divisor 343 and the new remainder 237, and apply the division lemma to get

343 = 237 x 1 + 106

We consider the new divisor 237 and the new remainder 106,and apply the division lemma to get

237 = 106 x 2 + 25

We consider the new divisor 106 and the new remainder 25,and apply the division lemma to get

106 = 25 x 4 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 923 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(106,25) = HCF(237,106) = HCF(343,237) = HCF(580,343) = HCF(923,580) .

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

Step 1: Since 119 > 1, we apply the division lemma to 119 and 1, to get

119 = 1 x 119 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 119 is 1

Notice that 1 = HCF(119,1) .

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Frequently Asked Questions on HCF of 580, 923, 119 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, 923, 119?

Answer: HCF of 580, 923, 119 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 923, 119 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 923, 119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.