Highest Common Factor of 576, 727, 380 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 576, 727, 380 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 576, 727, 380 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 576, 727, 380 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 576, 727, 380 is 1.

HCF(576, 727, 380) = 1

HCF of 576, 727, 380 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 576, 727, 380 is 1.

Highest Common Factor of 576,727,380 using Euclid's algorithm

Highest Common Factor of 576,727,380 is 1

Step 1: Since 727 > 576, we apply the division lemma to 727 and 576, to get

727 = 576 x 1 + 151

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 151 and 576, to get

576 = 151 x 3 + 123

Step 3: We consider the new divisor 151 and the new remainder 123, and apply the division lemma to get

151 = 123 x 1 + 28

We consider the new divisor 123 and the new remainder 28,and apply the division lemma to get

123 = 28 x 4 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 576 and 727 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(123,28) = HCF(151,123) = HCF(576,151) = HCF(727,576) .

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

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

380 = 1 x 380 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 380 is 1

Notice that 1 = HCF(380,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 576, 727, 380 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 576, 727, 380?

Answer: HCF of 576, 727, 380 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 576, 727, 380 using Euclid's Algorithm?

Answer: For arbitrary numbers 576, 727, 380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.