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 114, 339, 73, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 339, 73, 249 is 1
GCD(114, 339, 73, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 339, 73, 249 is 1
GCD(114, 339, 73, 249) = 1
Given Input numbers are 114, 339, 73, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 114, 339, 73, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 339, 73, 249 is 1.
Therefore, GCD of numbers 114, 339, 73, 249 is 1
Given Input Data is 114, 339, 73, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 339 is 3 x 113
Prime Factorization of 73 is 73
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(114, 339) = 12882
GCD(114, 339) = ( 114 x 339 ) / 12882
GCD(114, 339) = 38646 / 12882
GCD(114, 339) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 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 114, 339, 73, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 339, 73, 249?
GCD of 114, 339, 73, 249 is 1
2. Where do I get the detailed procedure to find GCD of 114, 339, 73, 249?
You can find a detailed procedure to find GCD of 114, 339, 73, 249 on our page.
3. How to find GCD of 114, 339, 73, 249 on a calculator?
You can find the GCD of 114, 339, 73, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.