GCD of 243, 312, 231 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 243, 312, 231 quickly. Get the easiest ways to solve the greatest common divisor of 243, 312, 231 i.e 3 in different methods as follows.
Given Input numbers are 243, 312, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (243, 312, 231) = 3.
Given numbers are 243, 312, 231
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 243, 312, 231 is 3.
Steps to Calculate GCD of 243, 312, 231 using LCM Formula
Given numbers are 243, 312, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 312) = 25272
GCD(243, 312) = ( 243 x 312 ) / 25272
= 243 / 312
= 243
Step2:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
So, Greatest Common Divisor of 243, 312, 231 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 243, 312, 231
Given numbers are 243, 312, 231
The greatest common divisor of numbers 243, 312, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 312, 231 is 3.
FAQs on GCD of 243, 312, 231 Calculator
1. What is the GCD of 243, 312, 231?
GCD of given numbers 243, 312, 231 is 3
2. How to calculate the greatest common divisor of 243, 312, 231?
We can find the highest common divisor of 243, 312, 231 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 243, 312, 231 i.e 3.
3. How can I use the GCD of 243, 312, 231Calculator?
Out the numbers 243, 312, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.