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 789, 576, 379, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 576, 379, 210 is 1
GCD(789, 576, 379, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 576, 379, 210 is 1
GCD(789, 576, 379, 210) = 1
Given Input numbers are 789, 576, 379, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 789, 576, 379, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 576, 379, 210 is 1.
Therefore, GCD of numbers 789, 576, 379, 210 is 1
Given Input Data is 789, 576, 379, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 379 is 379
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(789, 576) = 151488
GCD(789, 576) = ( 789 x 576 ) / 151488
GCD(789, 576) = 454464 / 151488
GCD(789, 576) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 379) = 1137
GCD(3, 379) = ( 3 x 379 ) / 1137
GCD(3, 379) = 1137 / 1137
GCD(3, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 789, 576, 379, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 576, 379, 210?
GCD of 789, 576, 379, 210 is 1
2. Where do I get the detailed procedure to find GCD of 789, 576, 379, 210?
You can find a detailed procedure to find GCD of 789, 576, 379, 210 on our page.
3. How to find GCD of 789, 576, 379, 210 on a calculator?
You can find the GCD of 789, 576, 379, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.