GCD of 321, 225, 15, 130 Calculator

Given Input numbers are 321, 225, 15, 130

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 321, 225, 15, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 225, 15, 130 is 1.

Therefore, GCD of numbers 321, 225, 15, 130 is 1

Given Input Data is 321, 225, 15, 130

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 130 is 2 x 5 x 13

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(321, 225) = 24075

GCD(321, 225) = ( 321 x 225 ) / 24075

GCD(321, 225) = 72225 / 24075

GCD(321, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 130

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

LCM(3, 130) = 390

GCD(3, 130) = ( 3 x 130 ) / 390

GCD(3, 130) = 390 / 390

GCD(3, 130) = 1

GCD of 321, 225, 15, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 747, 90, 301
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• GCD of 184, 122, 12, 366
• GCD of 675, 221, 19, 105

1. What is the GCD of 321, 225, 15, 130?

GCD of 321, 225, 15, 130 is 1

2. Where do I get the detailed procedure to find GCD of 321, 225, 15, 130?

You can find a detailed procedure to find GCD of 321, 225, 15, 130 on our page.

3. How to find GCD of 321, 225, 15, 130 on a calculator?

You can find the GCD of 321, 225, 15, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.