Highest Common Factor of 580, 453, 379, 30 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, 453, 379, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 453, 379, 30 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, 453, 379, 30 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, 453, 379, 30 is 1.

HCF(580, 453, 379, 30) = 1

HCF of 580, 453, 379, 30 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, 453, 379, 30 is 1.

Highest Common Factor of 580,453,379,30 using Euclid's algorithm

Highest Common Factor of 580,453,379,30 is 1

Step 1: Since 580 > 453, we apply the division lemma to 580 and 453, to get

580 = 453 x 1 + 127

Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 127 and 453, to get

453 = 127 x 3 + 72

Step 3: We consider the new divisor 127 and the new remainder 72, and apply the division lemma to get

127 = 72 x 1 + 55

We consider the new divisor 72 and the new remainder 55,and apply the division lemma to get

72 = 55 x 1 + 17

We consider the new divisor 55 and the new remainder 17,and apply the division lemma to get

55 = 17 x 3 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 453 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(72,55) = HCF(127,72) = HCF(453,127) = HCF(580,453) .

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

Step 1: Since 379 > 1, we apply the division lemma to 379 and 1, to get

379 = 1 x 379 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 379 is 1

Notice that 1 = HCF(379,1) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 580, 453, 379, 30 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, 453, 379, 30?

Answer: HCF of 580, 453, 379, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 453, 379, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 453, 379, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.