GCD of 111, 384, 152, 324 Calculator

Given Input numbers are 111, 384, 152, 324

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 111, 384, 152, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 384, 152, 324 is 1.

Therefore, GCD of numbers 111, 384, 152, 324 is 1

Given Input Data is 111, 384, 152, 324

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(111, 384) = 14208

GCD(111, 384) = ( 111 x 384 ) / 14208

GCD(111, 384) = 42624 / 14208

GCD(111, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 152

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

LCM(3, 152) = 456

GCD(3, 152) = ( 3 x 152 ) / 456

GCD(3, 152) = 456 / 456

GCD(3, 152) = 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 111, 384, 152, 324 is 1

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1. What is the GCD of 111, 384, 152, 324?

GCD of 111, 384, 152, 324 is 1

2. Where do I get the detailed procedure to find GCD of 111, 384, 152, 324?

You can find a detailed procedure to find GCD of 111, 384, 152, 324 on our page.

3. How to find GCD of 111, 384, 152, 324 on a calculator?

You can find the GCD of 111, 384, 152, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.