GCD of 188, 324, 96, 536 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 188, 324, 96, 536 i.e. 4 largest integer that divides all the numbers equally.

GCD of 188, 324, 96, 536 is 4

GCD(188, 324, 96, 536) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 188, 324, 96, 536 is 4

GCD(188, 324, 96, 536) = 4

GCD of 188,324,96,536 Calculator

GCDof 188,324,96,536 is 4

Given Input numbers are 188, 324, 96, 536

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 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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 188, 324, 96, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 324, 96, 536 is 4.

Therefore, GCD of numbers 188, 324, 96, 536 is 4

Finding GCD of 188, 324, 96, 536 using Prime Factorization

Given Input Data is 188, 324, 96, 536

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 536 is 2 x 2 x 2 x 67

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 188, 324, 96, 536 using LCM Formula

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, 324) = 15228

GCD(188, 324) = ( 188 x 324 ) / 15228

GCD(188, 324) = 60912 / 15228

GCD(188, 324) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 536

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

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

GCD(4, 536) = 2144 / 536

GCD(4, 536) = 4

GCD of 188, 324, 96, 536 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 188, 324, 96, 536

1. What is the GCD of 188, 324, 96, 536?

GCD of 188, 324, 96, 536 is 4


2. Where do I get the detailed procedure to find GCD of 188, 324, 96, 536?

You can find a detailed procedure to find GCD of 188, 324, 96, 536 on our page.


3. How to find GCD of 188, 324, 96, 536 on a calculator?

You can find the GCD of 188, 324, 96, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.