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 369, 648, 54, 327 i.e. 3 largest integer that divides all the numbers equally.
GCD of 369, 648, 54, 327 is 3
GCD(369, 648, 54, 327) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 648, 54, 327 is 3
GCD(369, 648, 54, 327) = 3
Given Input numbers are 369, 648, 54, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 369, 648, 54, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 648, 54, 327 is 3.
Therefore, GCD of numbers 369, 648, 54, 327 is 3
Given Input Data is 369, 648, 54, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 327 is 3 x 109
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(369, 648) = 26568
GCD(369, 648) = ( 369 x 648 ) / 26568
GCD(369, 648) = 239112 / 26568
GCD(369, 648) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 54) = 54
GCD(9, 54) = ( 9 x 54 ) / 54
GCD(9, 54) = 486 / 54
GCD(9, 54) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 327) = 981
GCD(9, 327) = ( 9 x 327 ) / 981
GCD(9, 327) = 2943 / 981
GCD(9, 327) = 3
GCD of 369, 648, 54, 327 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 648, 54, 327?
GCD of 369, 648, 54, 327 is 3
2. Where do I get the detailed procedure to find GCD of 369, 648, 54, 327?
You can find a detailed procedure to find GCD of 369, 648, 54, 327 on our page.
3. How to find GCD of 369, 648, 54, 327 on a calculator?
You can find the GCD of 369, 648, 54, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.