GCD of 225, 904, 31, 369 Calculator

Given Input numbers are 225, 904, 31, 369

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 225, 904, 31, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 904, 31, 369 is 1.

Therefore, GCD of numbers 225, 904, 31, 369 is 1

Given Input Data is 225, 904, 31, 369

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 31 is 31

Prime Factorization of 369 is 3 x 3 x 41

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(225, 904) = 203400

GCD(225, 904) = ( 225 x 904 ) / 203400

GCD(225, 904) = 203400 / 203400

GCD(225, 904) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 225, 904, 31, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 231, 25, 839
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• GCD of 861, 325, 31, 912
• GCD of 257, 313, 92, 253
• GCD of 346, 540, 40, 215

1. What is the GCD of 225, 904, 31, 369?

GCD of 225, 904, 31, 369 is 1

2. Where do I get the detailed procedure to find GCD of 225, 904, 31, 369?

You can find a detailed procedure to find GCD of 225, 904, 31, 369 on our page.

3. How to find GCD of 225, 904, 31, 369 on a calculator?

You can find the GCD of 225, 904, 31, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.