GCD of 399, 229, 905, 180 Calculator

Given Input numbers are 399, 229, 905, 180

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 905

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

1, 5, 181, 905

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 399, 229, 905, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 229, 905, 180 is 1.

Therefore, GCD of numbers 399, 229, 905, 180 is 1

Given Input Data is 399, 229, 905, 180

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 229 is 229

Prime Factorization of 905 is 5 x 181

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(399, 229) = 91371

GCD(399, 229) = ( 399 x 229 ) / 91371

GCD(399, 229) = 91371 / 91371

GCD(399, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 399, 229, 905, 180 is 1

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1. What is the GCD of 399, 229, 905, 180?

GCD of 399, 229, 905, 180 is 1

2. Where do I get the detailed procedure to find GCD of 399, 229, 905, 180?

You can find a detailed procedure to find GCD of 399, 229, 905, 180 on our page.

3. How to find GCD of 399, 229, 905, 180 on a calculator?

You can find the GCD of 399, 229, 905, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.