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 324, 105, 53, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 105, 53, 219 is 1
GCD(324, 105, 53, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 105, 53, 219 is 1
GCD(324, 105, 53, 219) = 1
Given Input numbers are 324, 105, 53, 219
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
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 324, 105, 53, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 105, 53, 219 is 1.
Therefore, GCD of numbers 324, 105, 53, 219 is 1
Given Input Data is 324, 105, 53, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 53 is 53
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(324, 105) = 11340
GCD(324, 105) = ( 324 x 105 ) / 11340
GCD(324, 105) = 34020 / 11340
GCD(324, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 53) = 159
GCD(3, 53) = ( 3 x 53 ) / 159
GCD(3, 53) = 159 / 159
GCD(3, 53) = 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 324, 105, 53, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 105, 53, 219?
GCD of 324, 105, 53, 219 is 1
2. Where do I get the detailed procedure to find GCD of 324, 105, 53, 219?
You can find a detailed procedure to find GCD of 324, 105, 53, 219 on our page.
3. How to find GCD of 324, 105, 53, 219 on a calculator?
You can find the GCD of 324, 105, 53, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.