GCD of 180, 305, 556 Calculator

Given Input numbers are 180, 305, 556

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 180, 305, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 305, 556 is 1.

Therefore, GCD of numbers 180, 305, 556 is 1

Given Input Data is 180, 305, 556

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 305 is 5 x 61

Prime Factorization of 556 is 2 x 2 x 139

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, 305) = 10980

GCD(180, 305) = ( 180 x 305 ) / 10980

GCD(180, 305) = 54900 / 10980

GCD(180, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 556

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

LCM(5, 556) = 2780

GCD(5, 556) = ( 5 x 556 ) / 2780

GCD(5, 556) = 2780 / 2780

GCD(5, 556) = 1

GCD of 180, 305, 556 is 1

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• GCD of 313, 625, 997
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1. What is the GCD of 180, 305, 556?

GCD of 180, 305, 556 is 1

2. Where do I get the detailed procedure to find GCD of 180, 305, 556?

You can find a detailed procedure to find GCD of 180, 305, 556 on our page.

3. How to find GCD of 180, 305, 556 on a calculator?

You can find the GCD of 180, 305, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.