Online GCD Calculator is useful to find the GCD of 243, 576, 861, 492 quickly. Get the easiest ways to solve the greatest common divisor of 243, 576, 861, 492 i.e 3 in different methods as follows.
Given Input numbers are 243, 576, 861, 492
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 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (243, 576, 861, 492) = 3.
Given numbers are 243, 576, 861, 492
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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 861 are 3 x 7 x 41
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 243, 576, 861, 492 is 3.
Given numbers are 243, 576, 861, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 576) = 15552
GCD(243, 576) = ( 243 x 576 ) / 15552
= 243 / 576
= 243
Step2:
LCM(9, 861) = 2583
GCD(9, 861) = ( 9 x 861 ) / 2583
= 9 / 861
= 9
Step3:
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
= 3 / 492
= 3
So, Greatest Common Divisor of 243, 576, 861, 492 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 576, 861, 492
The greatest common divisor of numbers 243, 576, 861, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 576, 861, 492 is 3.
1. What is the GCD of 243, 576, 861, 492?
GCD of given numbers 243, 576, 861, 492 is 3
2. How to calculate the greatest common divisor of 243, 576, 861, 492?
We can find the highest common divisor of 243, 576, 861, 492 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, 576, 861, 492 i.e 3.
3. How can I use the GCD of 243, 576, 861, 492Calculator?
Out the numbers 243, 576, 861, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.