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 numbers 993, 869, 960 is 1
GCD(993, 869, 960) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.