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 693, 773, 31, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 773, 31, 789 is 1
GCD(693, 773, 31, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 773, 31, 789 is 1
GCD(693, 773, 31, 789) = 1
Given Input numbers are 693, 773, 31, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 693, 773, 31, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 773, 31, 789 is 1.
Therefore, GCD of numbers 693, 773, 31, 789 is 1
Given Input Data is 693, 773, 31, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 773 is 773
Prime Factorization of 31 is 31
Prime Factorization of 789 is 3 x 263
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(693, 773) = 535689
GCD(693, 773) = ( 693 x 773 ) / 535689
GCD(693, 773) = 535689 / 535689
GCD(693, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 693, 773, 31, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 773, 31, 789?
GCD of 693, 773, 31, 789 is 1
2. Where do I get the detailed procedure to find GCD of 693, 773, 31, 789?
You can find a detailed procedure to find GCD of 693, 773, 31, 789 on our page.
3. How to find GCD of 693, 773, 31, 789 on a calculator?
You can find the GCD of 693, 773, 31, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.