Online GCD Calculator is useful to find the GCD of 204, 675, 564 quickly. Get the easiest ways to solve the greatest common divisor of 204, 675, 564 i.e 3 in different methods as follows.
Given Input numbers are 204, 675, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (204, 675, 564) = 3.
Given numbers are 204, 675, 564
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 204, 675, 564 is 3.
Given numbers are 204, 675, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 675) = 45900
GCD(204, 675) = ( 204 x 675 ) / 45900
= 204 / 675
= 204
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 204, 675, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 675, 564
The greatest common divisor of numbers 204, 675, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 675, 564 is 3.
1. What is the GCD of 204, 675, 564?
GCD of given numbers 204, 675, 564 is 3
2. How to calculate the greatest common divisor of 204, 675, 564?
We can find the highest common divisor of 204, 675, 564 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 204, 675, 564 i.e 3.
3. How can I use the GCD of 204, 675, 564Calculator?
Out the numbers 204, 675, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.