GCD of 905, 301, 584, 225 Calculator

Given Input numbers are 905, 301, 584, 225

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 905, 301, 584, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 301, 584, 225 is 1.

Therefore, GCD of numbers 905, 301, 584, 225 is 1

Given Input Data is 905, 301, 584, 225

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 301 is 7 x 43

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

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(905, 301) = 272405

GCD(905, 301) = ( 905 x 301 ) / 272405

GCD(905, 301) = 272405 / 272405

GCD(905, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 905, 301, 584, 225 is 1

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1. What is the GCD of 905, 301, 584, 225?

GCD of 905, 301, 584, 225 is 1

2. Where do I get the detailed procedure to find GCD of 905, 301, 584, 225?

You can find a detailed procedure to find GCD of 905, 301, 584, 225 on our page.

3. How to find GCD of 905, 301, 584, 225 on a calculator?

You can find the GCD of 905, 301, 584, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.