GCD of 304, 313, 130, 444 Calculator

Given Input numbers are 304, 313, 130, 444

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 304, 313, 130, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 313, 130, 444 is 1.

Therefore, GCD of numbers 304, 313, 130, 444 is 1

Given Input Data is 304, 313, 130, 444

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 313 is 313

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(304, 313) = 95152

GCD(304, 313) = ( 304 x 313 ) / 95152

GCD(304, 313) = 95152 / 95152

GCD(304, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 304, 313, 130, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 106, 468, 449
• GCD of 141, 508, 917, 153
• GCD of 878, 223, 899, 470
• GCD of 641, 377, 108, 306
• GCD of 626, 700, 975, 445

1. What is the GCD of 304, 313, 130, 444?

GCD of 304, 313, 130, 444 is 1

2. Where do I get the detailed procedure to find GCD of 304, 313, 130, 444?

You can find a detailed procedure to find GCD of 304, 313, 130, 444 on our page.

3. How to find GCD of 304, 313, 130, 444 on a calculator?

You can find the GCD of 304, 313, 130, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.