GCD of 180, 372, 56 Calculator

Given Input numbers are 180, 372, 56

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 180, 372, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 372, 56 is 4.

Therefore, GCD of numbers 180, 372, 56 is 4

Given Input Data is 180, 372, 56

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 56 is 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 372) = 5580

GCD(180, 372) = ( 180 x 372 ) / 5580

GCD(180, 372) = 66960 / 5580

GCD(180, 372) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 56

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

LCM(12, 56) = 168

GCD(12, 56) = ( 12 x 56 ) / 168

GCD(12, 56) = 672 / 168

GCD(12, 56) = 4

GCD of 180, 372, 56 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 795, 94
• GCD of 721, 625, 97
• GCD of 294, 620, 60
• GCD of 657, 222, 36
• GCD of 215, 697, 12

1. What is the GCD of 180, 372, 56?

GCD of 180, 372, 56 is 4

2. Where do I get the detailed procedure to find GCD of 180, 372, 56?

You can find a detailed procedure to find GCD of 180, 372, 56 on our page.

3. How to find GCD of 180, 372, 56 on a calculator?

You can find the GCD of 180, 372, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.