GCD of 324, 612, 243 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 324, 612, 243 quickly. Get the easiest ways to solve the greatest common divisor of 324, 612, 243 i.e 9 in different methods as follows.
Given Input numbers are 324, 612, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (324, 612, 243) = 9.
Given numbers are 324, 612, 243
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 324, 612, 243 is 9.
Steps to Calculate GCD of 324, 612, 243 using LCM Formula
Given numbers are 324, 612, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 612) = 5508
GCD(324, 612) = ( 324 x 612 ) / 5508
= 324 / 612
= 324
Step2:
LCM(36, 243) = 972
GCD(36, 243) = ( 36 x 243 ) / 972
= 36 / 243
= 36
So, Greatest Common Divisor of 324, 612, 243 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 324, 612, 243
Given numbers are 324, 612, 243
The greatest common divisor of numbers 324, 612, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 612, 243 is 9.
FAQs on GCD of 324, 612, 243 Calculator
1. What is the GCD of 324, 612, 243?
GCD of given numbers 324, 612, 243 is 9
2. How to calculate the greatest common divisor of 324, 612, 243?
We can find the highest common divisor of 324, 612, 243 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 324, 612, 243 i.e 9.
3. How can I use the GCD of 324, 612, 243Calculator?
Out the numbers 324, 612, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.