Highest Common Factor of 382, 588, 363 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 382, 588, 363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 382, 588, 363 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 382, 588, 363 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 382, 588, 363 is 1.

HCF(382, 588, 363) = 1

HCF of 382, 588, 363 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 382, 588, 363 is 1.

Highest Common Factor of 382,588,363 using Euclid's algorithm

Highest Common Factor of 382,588,363 is 1

Step 1: Since 588 > 382, we apply the division lemma to 588 and 382, to get

588 = 382 x 1 + 206

Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 206 and 382, to get

382 = 206 x 1 + 176

Step 3: We consider the new divisor 206 and the new remainder 176, and apply the division lemma to get

206 = 176 x 1 + 30

We consider the new divisor 176 and the new remainder 30,and apply the division lemma to get

176 = 30 x 5 + 26

We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get

30 = 26 x 1 + 4

We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get

26 = 4 x 6 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 382 and 588 is 2

Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(176,30) = HCF(206,176) = HCF(382,206) = HCF(588,382) .

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

Step 1: Since 363 > 2, we apply the division lemma to 363 and 2, to get

363 = 2 x 181 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 363 is 1

Notice that 1 = HCF(2,1) = HCF(363,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 382, 588, 363 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 382, 588, 363?

Answer: HCF of 382, 588, 363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 382, 588, 363 using Euclid's Algorithm?

Answer: For arbitrary numbers 382, 588, 363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.