GCD of 205, 582, 61, 381 Calculator

Given Input numbers are 205, 582, 61, 381

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 205, 582, 61, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 582, 61, 381 is 1.

Therefore, GCD of numbers 205, 582, 61, 381 is 1

Given Input Data is 205, 582, 61, 381

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 205 is 5 x 41

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 61 is 61

Prime Factorization of 381 is 3 x 127

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(205, 582) = 119310

GCD(205, 582) = ( 205 x 582 ) / 119310

GCD(205, 582) = 119310 / 119310

GCD(205, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 205, 582, 61, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 254, 70, 351
• GCD of 995, 819, 62, 281
• GCD of 305, 643, 40, 742
• GCD of 360, 622, 83, 217
• GCD of 311, 528, 80, 481

1. What is the GCD of 205, 582, 61, 381?

GCD of 205, 582, 61, 381 is 1

2. Where do I get the detailed procedure to find GCD of 205, 582, 61, 381?

You can find a detailed procedure to find GCD of 205, 582, 61, 381 on our page.

3. How to find GCD of 205, 582, 61, 381 on a calculator?

You can find the GCD of 205, 582, 61, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.