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 350, 582, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 582, 789 is 1
GCD(350, 582, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 582, 789 is 1
GCD(350, 582, 789) = 1
Given Input numbers are 350, 582, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
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 350, 582, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 582, 789 is 1.
Therefore, GCD of numbers 350, 582, 789 is 1
Given Input Data is 350, 582, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 582 is 2 x 3 x 97
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(350, 582) = 101850
GCD(350, 582) = ( 350 x 582 ) / 101850
GCD(350, 582) = 203700 / 101850
GCD(350, 582) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 350, 582, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 582, 789?
GCD of 350, 582, 789 is 1
2. Where do I get the detailed procedure to find GCD of 350, 582, 789?
You can find a detailed procedure to find GCD of 350, 582, 789 on our page.
3. How to find GCD of 350, 582, 789 on a calculator?
You can find the GCD of 350, 582, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.