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 914, 789, 329, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 789, 329, 249 is 1
GCD(914, 789, 329, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 789, 329, 249 is 1
GCD(914, 789, 329, 249) = 1
Given Input numbers are 914, 789, 329, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 914, 789, 329, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 789, 329, 249 is 1.
Therefore, GCD of numbers 914, 789, 329, 249 is 1
Given Input Data is 914, 789, 329, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 789 is 3 x 263
Prime Factorization of 329 is 7 x 47
Prime Factorization of 249 is 3 x 83
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(914, 789) = 721146
GCD(914, 789) = ( 914 x 789 ) / 721146
GCD(914, 789) = 721146 / 721146
GCD(914, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 914, 789, 329, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 789, 329, 249?
GCD of 914, 789, 329, 249 is 1
2. Where do I get the detailed procedure to find GCD of 914, 789, 329, 249?
You can find a detailed procedure to find GCD of 914, 789, 329, 249 on our page.
3. How to find GCD of 914, 789, 329, 249 on a calculator?
You can find the GCD of 914, 789, 329, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.