GCD of 390, 387, 456, 225 Calculator

Given Input numbers are 390, 387, 456, 225

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

Greatest Common Divisior

We found the divisors of 390, 387, 456, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 387, 456, 225 is 3.

Therefore, GCD of numbers 390, 387, 456, 225 is 3

Given Input Data is 390, 387, 456, 225

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(390, 387) = 50310

GCD(390, 387) = ( 390 x 387 ) / 50310

GCD(390, 387) = 150930 / 50310

GCD(390, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 225

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

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

GCD(3, 225) = 675 / 225

GCD(3, 225) = 3

GCD of 390, 387, 456, 225 is 3

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1. What is the GCD of 390, 387, 456, 225?

GCD of 390, 387, 456, 225 is 3

2. Where do I get the detailed procedure to find GCD of 390, 387, 456, 225?

You can find a detailed procedure to find GCD of 390, 387, 456, 225 on our page.

3. How to find GCD of 390, 387, 456, 225 on a calculator?

You can find the GCD of 390, 387, 456, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.