Online GCD Calculator is useful to find the GCD of 324, 231, 565, 576 quickly. Get the easiest ways to solve the greatest common divisor of 324, 231, 565, 576 i.e 1 in different methods as follows.
Given Input numbers are 324, 231, 565, 576
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 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
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
GCD of numbers is the greatest common divisor
So, the GCD (324, 231, 565, 576) = 1.
Given numbers are 324, 231, 565, 576
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 231 are 3 x 7 x 11
Prime factors of 565 are 5 x 113
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 231, 565, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 231) = 24948
GCD(324, 231) = ( 324 x 231 ) / 24948
= 324 / 231
= 324
Step2:
LCM(3, 565) = 1695
GCD(3, 565) = ( 3 x 565 ) / 1695
= 3 / 565
= 3
Step3:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
So, Greatest Common Divisor of 324, 231, 565, 576 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 231, 565, 576
The greatest common divisor of numbers 324, 231, 565, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 231, 565, 576 is 1.
1. What is the GCD of 324, 231, 565, 576?
GCD of given numbers 324, 231, 565, 576 is 1
2. How to calculate the greatest common divisor of 324, 231, 565, 576?
We can find the highest common divisor of 324, 231, 565, 576 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, 231, 565, 576 i.e 1.
3. How can I use the GCD of 324, 231, 565, 576Calculator?
Out the numbers 324, 231, 565, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.