GCD of 404, 113, 11, 225 Calculator

Given Input numbers are 404, 113, 11, 225

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 404, 113, 11, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 113, 11, 225 is 1.

Therefore, GCD of numbers 404, 113, 11, 225 is 1

Given Input Data is 404, 113, 11, 225

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 113 is 113

Prime Factorization of 11 is 11

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(404, 113) = 45652

GCD(404, 113) = ( 404 x 113 ) / 45652

GCD(404, 113) = 45652 / 45652

GCD(404, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 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 404, 113, 11, 225 is 1

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1. What is the GCD of 404, 113, 11, 225?

GCD of 404, 113, 11, 225 is 1

2. Where do I get the detailed procedure to find GCD of 404, 113, 11, 225?

You can find a detailed procedure to find GCD of 404, 113, 11, 225 on our page.

3. How to find GCD of 404, 113, 11, 225 on a calculator?

You can find the GCD of 404, 113, 11, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.