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 378, 367, 729, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 367, 729, 219 is 1
GCD(378, 367, 729, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 367, 729, 219 is 1
GCD(378, 367, 729, 219) = 1
Given Input numbers are 378, 367, 729, 219
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Greatest Common Divisior
We found the divisors of 378, 367, 729, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 367, 729, 219 is 1.
Therefore, GCD of numbers 378, 367, 729, 219 is 1
Given Input Data is 378, 367, 729, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 367 is 367
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 219 is 3 x 73
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(378, 367) = 138726
GCD(378, 367) = ( 378 x 367 ) / 138726
GCD(378, 367) = 138726 / 138726
GCD(378, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 219) = 219
GCD(1, 219) = ( 1 x 219 ) / 219
GCD(1, 219) = 219 / 219
GCD(1, 219) = 1
GCD of 378, 367, 729, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 367, 729, 219?
GCD of 378, 367, 729, 219 is 1
2. Where do I get the detailed procedure to find GCD of 378, 367, 729, 219?
You can find a detailed procedure to find GCD of 378, 367, 729, 219 on our page.
3. How to find GCD of 378, 367, 729, 219 on a calculator?
You can find the GCD of 378, 367, 729, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.