GCD of 303, 225, 41, 205 Calculator

Given Input numbers are 303, 225, 41, 205

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 303, 225, 41, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 225, 41, 205 is 1.

Therefore, GCD of numbers 303, 225, 41, 205 is 1

Given Input Data is 303, 225, 41, 205

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

Prime Factorization of 303 is 3 x 101

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

Prime Factorization of 41 is 41

Prime Factorization of 205 is 5 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(303, 225) = 22725

GCD(303, 225) = ( 303 x 225 ) / 22725

GCD(303, 225) = 68175 / 22725

GCD(303, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 303, 225, 41, 205 is 1

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1. What is the GCD of 303, 225, 41, 205?

GCD of 303, 225, 41, 205 is 1

2. Where do I get the detailed procedure to find GCD of 303, 225, 41, 205?

You can find a detailed procedure to find GCD of 303, 225, 41, 205 on our page.

3. How to find GCD of 303, 225, 41, 205 on a calculator?

You can find the GCD of 303, 225, 41, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.