GCD of 33, 364, 923, 896 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 33, 364, 923, 896 i.e. 1 largest integer that divides all the numbers equally.

GCD of 33, 364, 923, 896 is 1

GCD(33, 364, 923, 896) = 1

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

GCD of

GCD of numbers 33, 364, 923, 896 is 1

GCD(33, 364, 923, 896) = 1

GCD of 33,364,923,896 Calculator

GCDof 33,364,923,896 is 1

Given Input numbers are 33, 364, 923, 896

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 33, 364, 923, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 364, 923, 896 is 1.

Therefore, GCD of numbers 33, 364, 923, 896 is 1

Finding GCD of 33, 364, 923, 896 using Prime Factorization

Given Input Data is 33, 364, 923, 896

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 923 is 13 x 71

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Finding GCD of 33, 364, 923, 896 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(33, 364) = 12012

GCD(33, 364) = ( 33 x 364 ) / 12012

GCD(33, 364) = 12012 / 12012

GCD(33, 364) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 33, 364, 923, 896 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 33, 364, 923, 896

1. What is the GCD of 33, 364, 923, 896?

GCD of 33, 364, 923, 896 is 1


2. Where do I get the detailed procedure to find GCD of 33, 364, 923, 896?

You can find a detailed procedure to find GCD of 33, 364, 923, 896 on our page.


3. How to find GCD of 33, 364, 923, 896 on a calculator?

You can find the GCD of 33, 364, 923, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.