GCD of 993, 556, 96, 925 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 993, 556, 96, 925 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 556, 96, 925 is 1

GCD(993, 556, 96, 925) = 1

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

GCD of

GCD of numbers 993, 556, 96, 925 is 1

GCD(993, 556, 96, 925) = 1

GCD of 993,556,96,925 Calculator

GCDof 993,556,96,925 is 1

Given Input numbers are 993, 556, 96, 925

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 993, 556, 96, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 556, 96, 925 is 1.

Therefore, GCD of numbers 993, 556, 96, 925 is 1

Finding GCD of 993, 556, 96, 925 using Prime Factorization

Given Input Data is 993, 556, 96, 925

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 556 is 2 x 2 x 139

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

Prime Factorization of 925 is 5 x 5 x 37

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

Finding GCD of 993, 556, 96, 925 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(993, 556) = 552108

GCD(993, 556) = ( 993 x 556 ) / 552108

GCD(993, 556) = 552108 / 552108

GCD(993, 556) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 993, 556, 96, 925 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 556, 96, 925

1. What is the GCD of 993, 556, 96, 925?

GCD of 993, 556, 96, 925 is 1


2. Where do I get the detailed procedure to find GCD of 993, 556, 96, 925?

You can find a detailed procedure to find GCD of 993, 556, 96, 925 on our page.


3. How to find GCD of 993, 556, 96, 925 on a calculator?

You can find the GCD of 993, 556, 96, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.