GCD of 188, 909, 75, 324 Calculator

Given Input numbers are 188, 909, 75, 324

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 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 188, 909, 75, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 909, 75, 324 is 1.

Therefore, GCD of numbers 188, 909, 75, 324 is 1

Given Input Data is 188, 909, 75, 324

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 909 is 3 x 3 x 101

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(188, 909) = 170892

GCD(188, 909) = ( 188 x 909 ) / 170892

GCD(188, 909) = 170892 / 170892

GCD(188, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 188, 909, 75, 324 is 1

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1. What is the GCD of 188, 909, 75, 324?

GCD of 188, 909, 75, 324 is 1

2. Where do I get the detailed procedure to find GCD of 188, 909, 75, 324?

You can find a detailed procedure to find GCD of 188, 909, 75, 324 on our page.

3. How to find GCD of 188, 909, 75, 324 on a calculator?

You can find the GCD of 188, 909, 75, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.