GCD of 225, 538, 477, 422 Calculator

Given Input numbers are 225, 538, 477, 422

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 225, 538, 477, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 538, 477, 422 is 1.

Therefore, GCD of numbers 225, 538, 477, 422 is 1

Given Input Data is 225, 538, 477, 422

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 538 is 2 x 269

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 422 is 2 x 211

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, 538) = 121050

GCD(225, 538) = ( 225 x 538 ) / 121050

GCD(225, 538) = 121050 / 121050

GCD(225, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 225, 538, 477, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 219, 809, 829
• GCD of 380, 556, 141, 189
• GCD of 108, 154, 857, 941
• GCD of 793, 975, 979, 271
• GCD of 471, 191, 888, 703

1. What is the GCD of 225, 538, 477, 422?

GCD of 225, 538, 477, 422 is 1

2. Where do I get the detailed procedure to find GCD of 225, 538, 477, 422?

You can find a detailed procedure to find GCD of 225, 538, 477, 422 on our page.

3. How to find GCD of 225, 538, 477, 422 on a calculator?

You can find the GCD of 225, 538, 477, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.