GCD of 279, 230, 180 Calculator

Given Input numbers are 279, 230, 180

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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 279, 230, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 230, 180 is 1.

Therefore, GCD of numbers 279, 230, 180 is 1

Given Input Data is 279, 230, 180

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 230 is 2 x 5 x 23

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(279, 230) = 64170

GCD(279, 230) = ( 279 x 230 ) / 64170

GCD(279, 230) = 64170 / 64170

GCD(279, 230) = 1

Step2:

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 279, 230, 180 is 1

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1. What is the GCD of 279, 230, 180?

GCD of 279, 230, 180 is 1

2. Where do I get the detailed procedure to find GCD of 279, 230, 180?

You can find a detailed procedure to find GCD of 279, 230, 180 on our page.

3. How to find GCD of 279, 230, 180 on a calculator?

You can find the GCD of 279, 230, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.