GCD of 580, 381, 322, 142 Calculator

Given Input numbers are 580, 381, 322, 142

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 381

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

1, 3, 127, 381

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 580, 381, 322, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 381, 322, 142 is 1.

Therefore, GCD of numbers 580, 381, 322, 142 is 1

Given Input Data is 580, 381, 322, 142

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 381 is 3 x 127

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 142 is 2 x 71

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(580, 381) = 220980

GCD(580, 381) = ( 580 x 381 ) / 220980

GCD(580, 381) = 220980 / 220980

GCD(580, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 580, 381, 322, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 658, 499, 972
• GCD of 640, 391, 246, 900
• GCD of 515, 253, 699, 683
• GCD of 905, 917, 128, 408
• GCD of 515, 338, 372, 536

1. What is the GCD of 580, 381, 322, 142?

GCD of 580, 381, 322, 142 is 1

2. Where do I get the detailed procedure to find GCD of 580, 381, 322, 142?

You can find a detailed procedure to find GCD of 580, 381, 322, 142 on our page.

3. How to find GCD of 580, 381, 322, 142 on a calculator?

You can find the GCD of 580, 381, 322, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.