GCD of 138, 211, 180 Calculator

Given Input numbers are 138, 211, 180

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

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 138, 211, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 211, 180 is 1.

Therefore, GCD of numbers 138, 211, 180 is 1

Given Input Data is 138, 211, 180

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 211 is 211

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(138, 211) = 29118

GCD(138, 211) = ( 138 x 211 ) / 29118

GCD(138, 211) = 29118 / 29118

GCD(138, 211) = 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 138, 211, 180 is 1

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1. What is the GCD of 138, 211, 180?

GCD of 138, 211, 180 is 1

2. Where do I get the detailed procedure to find GCD of 138, 211, 180?

You can find a detailed procedure to find GCD of 138, 211, 180 on our page.

3. How to find GCD of 138, 211, 180 on a calculator?

You can find the GCD of 138, 211, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.