GCD of 142, 428, 873, 361 Calculator

Given Input numbers are 142, 428, 873, 361

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 142, 428, 873, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 428, 873, 361 is 1.

Therefore, GCD of numbers 142, 428, 873, 361 is 1

Given Input Data is 142, 428, 873, 361

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 361 is 19 x 19

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(142, 428) = 30388

GCD(142, 428) = ( 142 x 428 ) / 30388

GCD(142, 428) = 60776 / 30388

GCD(142, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 142, 428, 873, 361 is 1

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1. What is the GCD of 142, 428, 873, 361?

GCD of 142, 428, 873, 361 is 1

2. Where do I get the detailed procedure to find GCD of 142, 428, 873, 361?

You can find a detailed procedure to find GCD of 142, 428, 873, 361 on our page.

3. How to find GCD of 142, 428, 873, 361 on a calculator?

You can find the GCD of 142, 428, 873, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.