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 243, 516, 326, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 516, 326, 100 is 1
GCD(243, 516, 326, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 516, 326, 100 is 1
GCD(243, 516, 326, 100) = 1
Given Input numbers are 243, 516, 326, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 243, 516, 326, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 516, 326, 100 is 1.
Therefore, GCD of numbers 243, 516, 326, 100 is 1
Given Input Data is 243, 516, 326, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 326 is 2 x 163
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(243, 516) = 41796
GCD(243, 516) = ( 243 x 516 ) / 41796
GCD(243, 516) = 125388 / 41796
GCD(243, 516) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 326) = 978
GCD(3, 326) = ( 3 x 326 ) / 978
GCD(3, 326) = 978 / 978
GCD(3, 326) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 243, 516, 326, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 516, 326, 100?
GCD of 243, 516, 326, 100 is 1
2. Where do I get the detailed procedure to find GCD of 243, 516, 326, 100?
You can find a detailed procedure to find GCD of 243, 516, 326, 100 on our page.
3. How to find GCD of 243, 516, 326, 100 on a calculator?
You can find the GCD of 243, 516, 326, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.