GCD of 333, 189, 96, 737 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 333, 189, 96, 737 i.e. 1 largest integer that divides all the numbers equally.

GCD of 333, 189, 96, 737 is 1

GCD(333, 189, 96, 737) = 1

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

GCD of

GCD of numbers 333, 189, 96, 737 is 1

GCD(333, 189, 96, 737) = 1

GCD of 333,189,96,737 Calculator

GCDof 333,189,96,737 is 1

Given Input numbers are 333, 189, 96, 737

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 333, 189, 96, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 189, 96, 737 is 1.

Therefore, GCD of numbers 333, 189, 96, 737 is 1

Finding GCD of 333, 189, 96, 737 using Prime Factorization

Given Input Data is 333, 189, 96, 737

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

Prime Factorization of 737 is 11 x 67

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 333, 189, 96, 737 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(333, 189) = 6993

GCD(333, 189) = ( 333 x 189 ) / 6993

GCD(333, 189) = 62937 / 6993

GCD(333, 189) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 96

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

LCM(9, 96) = 288

GCD(9, 96) = ( 9 x 96 ) / 288

GCD(9, 96) = 864 / 288

GCD(9, 96) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 737

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

LCM(3, 737) = 2211

GCD(3, 737) = ( 3 x 737 ) / 2211

GCD(3, 737) = 2211 / 2211

GCD(3, 737) = 1

GCD of 333, 189, 96, 737 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 333, 189, 96, 737

1. What is the GCD of 333, 189, 96, 737?

GCD of 333, 189, 96, 737 is 1


2. Where do I get the detailed procedure to find GCD of 333, 189, 96, 737?

You can find a detailed procedure to find GCD of 333, 189, 96, 737 on our page.


3. How to find GCD of 333, 189, 96, 737 on a calculator?

You can find the GCD of 333, 189, 96, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.