GCD of 180, 222, 185 Calculator

Given Input numbers are 180, 222, 185

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

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 180, 222, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 222, 185 is 1.

Therefore, GCD of numbers 180, 222, 185 is 1

Given Input Data is 180, 222, 185

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 185 is 5 x 37

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(180, 222) = 6660

GCD(180, 222) = ( 180 x 222 ) / 6660

GCD(180, 222) = 39960 / 6660

GCD(180, 222) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 185

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

LCM(6, 185) = 1110

GCD(6, 185) = ( 6 x 185 ) / 1110

GCD(6, 185) = 1110 / 1110

GCD(6, 185) = 1

GCD of 180, 222, 185 is 1

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1. What is the GCD of 180, 222, 185?

GCD of 180, 222, 185 is 1

2. Where do I get the detailed procedure to find GCD of 180, 222, 185?

You can find a detailed procedure to find GCD of 180, 222, 185 on our page.

3. How to find GCD of 180, 222, 185 on a calculator?

You can find the GCD of 180, 222, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.