GCD of 188, 228, 336, 120 Calculator

Given Input numbers are 188, 228, 336, 120

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 188, 228, 336, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 228, 336, 120 is 4.

Therefore, GCD of numbers 188, 228, 336, 120 is 4

Given Input Data is 188, 228, 336, 120

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 228 is 2 x 2 x 3 x 19

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 120 is 2 x 2 x 2 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, 228) = 10716

GCD(188, 228) = ( 188 x 228 ) / 10716

GCD(188, 228) = 42864 / 10716

GCD(188, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 336

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

LCM(4, 336) = 336

GCD(4, 336) = ( 4 x 336 ) / 336

GCD(4, 336) = 1344 / 336

GCD(4, 336) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

GCD of 188, 228, 336, 120 is 4

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1. What is the GCD of 188, 228, 336, 120?

GCD of 188, 228, 336, 120 is 4

2. Where do I get the detailed procedure to find GCD of 188, 228, 336, 120?

You can find a detailed procedure to find GCD of 188, 228, 336, 120 on our page.

3. How to find GCD of 188, 228, 336, 120 on a calculator?

You can find the GCD of 188, 228, 336, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.