GCD of 131, 460, 116, 365 Calculator

Given Input numbers are 131, 460, 116, 365

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 131, 460, 116, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 460, 116, 365 is 1.

Therefore, GCD of numbers 131, 460, 116, 365 is 1

Given Input Data is 131, 460, 116, 365

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

Prime Factorization of 131 is 131

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 365 is 5 x 73

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, 460) = 60260

GCD(131, 460) = ( 131 x 460 ) / 60260

GCD(131, 460) = 60260 / 60260

GCD(131, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 131, 460, 116, 365 is 1

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1. What is the GCD of 131, 460, 116, 365?

GCD of 131, 460, 116, 365 is 1

2. Where do I get the detailed procedure to find GCD of 131, 460, 116, 365?

You can find a detailed procedure to find GCD of 131, 460, 116, 365 on our page.

3. How to find GCD of 131, 460, 116, 365 on a calculator?

You can find the GCD of 131, 460, 116, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.