Highest Common Factor of 380, 480, 399 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 380, 480, 399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 380, 480, 399 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 380, 480, 399 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 380, 480, 399 is 1.

HCF(380, 480, 399) = 1

HCF of 380, 480, 399 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 380, 480, 399 is 1.

Highest Common Factor of 380,480,399 using Euclid's algorithm

Highest Common Factor of 380,480,399 is 1

Step 1: Since 480 > 380, we apply the division lemma to 480 and 380, to get

480 = 380 x 1 + 100

Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 100 and 380, to get

380 = 100 x 3 + 80

Step 3: We consider the new divisor 100 and the new remainder 80, and apply the division lemma to get

100 = 80 x 1 + 20

We consider the new divisor 80 and the new remainder 20, and apply the division lemma to get

80 = 20 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 380 and 480 is 20

Notice that 20 = HCF(80,20) = HCF(100,80) = HCF(380,100) = HCF(480,380) .

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

Step 1: Since 399 > 20, we apply the division lemma to 399 and 20, to get

399 = 20 x 19 + 19

Step 2: Since the reminder 20 ≠ 0, we apply division lemma to 19 and 20, to get

20 = 19 x 1 + 1

Step 3: We consider the new divisor 19 and the new remainder 1, and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 20 and 399 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(399,20) .

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Frequently Asked Questions on HCF of 380, 480, 399 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 380, 480, 399?

Answer: HCF of 380, 480, 399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 380, 480, 399 using Euclid's Algorithm?

Answer: For arbitrary numbers 380, 480, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.