GCD of 131, 570, 254, 459 Calculator

Given Input numbers are 131, 570, 254, 459

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 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 131, 570, 254, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 570, 254, 459 is 1.

Therefore, GCD of numbers 131, 570, 254, 459 is 1

Given Input Data is 131, 570, 254, 459

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

Prime Factorization of 131 is 131

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 254 is 2 x 127

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 570) = 74670

GCD(131, 570) = ( 131 x 570 ) / 74670

GCD(131, 570) = 74670 / 74670

GCD(131, 570) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 131, 570, 254, 459 is 1

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1. What is the GCD of 131, 570, 254, 459?

GCD of 131, 570, 254, 459 is 1

2. Where do I get the detailed procedure to find GCD of 131, 570, 254, 459?

You can find a detailed procedure to find GCD of 131, 570, 254, 459 on our page.

3. How to find GCD of 131, 570, 254, 459 on a calculator?

You can find the GCD of 131, 570, 254, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.