Online GCD Calculator is useful to find the GCD of 243, 912, 393, 864 quickly. Get the easiest ways to solve the greatest common divisor of 243, 912, 393, 864 i.e 3 in different methods as follows.
Given Input numbers are 243, 912, 393, 864
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 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (243, 912, 393, 864) = 3.
Given numbers are 243, 912, 393, 864
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 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 393 are 3 x 131
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 243, 912, 393, 864 is 3.
Given numbers are 243, 912, 393, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 912) = 73872
GCD(243, 912) = ( 243 x 912 ) / 73872
= 243 / 912
= 243
Step2:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 243, 912, 393, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 912, 393, 864
The greatest common divisor of numbers 243, 912, 393, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 912, 393, 864 is 3.
1. What is the GCD of 243, 912, 393, 864?
GCD of given numbers 243, 912, 393, 864 is 3
2. How to calculate the greatest common divisor of 243, 912, 393, 864?
We can find the highest common divisor of 243, 912, 393, 864 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, 912, 393, 864 i.e 3.
3. How can I use the GCD of 243, 912, 393, 864Calculator?
Out the numbers 243, 912, 393, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.