GCD of 993, 869, 960 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, 869, 960 i.e. 1 largest integer that divides all the numbers equally.

GCD of 993, 869, 960 is 1

GCD(993, 869, 960) = 1

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

GCD of

GCD of numbers 993, 869, 960 is 1

GCD(993, 869, 960) = 1

GCD of 993,869,960 Calculator

GCDof 993,869,960 is 1

Given Input numbers are 993, 869, 960

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 993, 869, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 869, 960 is 1.

Therefore, GCD of numbers 993, 869, 960 is 1

Finding GCD of 993, 869, 960 using Prime Factorization

Given Input Data is 993, 869, 960

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 869 is 11 x 79

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 993, 869, 960 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, 869) = 862917

GCD(993, 869) = ( 993 x 869 ) / 862917

GCD(993, 869) = 862917 / 862917

GCD(993, 869) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 993, 869, 960 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 993, 869, 960

1. What is the GCD of 993, 869, 960?

GCD of 993, 869, 960 is 1


2. Where do I get the detailed procedure to find GCD of 993, 869, 960?

You can find a detailed procedure to find GCD of 993, 869, 960 on our page.


3. How to find GCD of 993, 869, 960 on a calculator?

You can find the GCD of 993, 869, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.