GCD of 188, 352, 180 Calculator

Given Input numbers are 188, 352, 180

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 188, 352, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 352, 180 is 4.

Therefore, GCD of numbers 188, 352, 180 is 4

Given Input Data is 188, 352, 180

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

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(188, 352) = 16544

GCD(188, 352) = ( 188 x 352 ) / 16544

GCD(188, 352) = 66176 / 16544

GCD(188, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

GCD of 188, 352, 180 is 4

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1. What is the GCD of 188, 352, 180?

GCD of 188, 352, 180 is 4

2. Where do I get the detailed procedure to find GCD of 188, 352, 180?

You can find a detailed procedure to find GCD of 188, 352, 180 on our page.

3. How to find GCD of 188, 352, 180 on a calculator?

You can find the GCD of 188, 352, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.