GCD of 131, 218, 428, 323 Calculator

Given Input numbers are 131, 218, 428, 323

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 131, 218, 428, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 218, 428, 323 is 1.

Therefore, GCD of numbers 131, 218, 428, 323 is 1

Given Input Data is 131, 218, 428, 323

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

Prime Factorization of 131 is 131

Prime Factorization of 218 is 2 x 109

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 323 is 17 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(131, 218) = 28558

GCD(131, 218) = ( 131 x 218 ) / 28558

GCD(131, 218) = 28558 / 28558

GCD(131, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 131, 218, 428, 323 is 1

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1. What is the GCD of 131, 218, 428, 323?

GCD of 131, 218, 428, 323 is 1

2. Where do I get the detailed procedure to find GCD of 131, 218, 428, 323?

You can find a detailed procedure to find GCD of 131, 218, 428, 323 on our page.

3. How to find GCD of 131, 218, 428, 323 on a calculator?

You can find the GCD of 131, 218, 428, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.