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 331, 789, 359, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 789, 359, 106 is 1
GCD(331, 789, 359, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 789, 359, 106 is 1
GCD(331, 789, 359, 106) = 1
Given Input numbers are 331, 789, 359, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 331, 789, 359, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 789, 359, 106 is 1.
Therefore, GCD of numbers 331, 789, 359, 106 is 1
Given Input Data is 331, 789, 359, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 789 is 3 x 263
Prime Factorization of 359 is 359
Prime Factorization of 106 is 2 x 53
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(331, 789) = 261159
GCD(331, 789) = ( 331 x 789 ) / 261159
GCD(331, 789) = 261159 / 261159
GCD(331, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 331, 789, 359, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 789, 359, 106?
GCD of 331, 789, 359, 106 is 1
2. Where do I get the detailed procedure to find GCD of 331, 789, 359, 106?
You can find a detailed procedure to find GCD of 331, 789, 359, 106 on our page.
3. How to find GCD of 331, 789, 359, 106 on a calculator?
You can find the GCD of 331, 789, 359, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.