Online GCD Calculator is useful to find the GCD of 675, 684, 564 quickly. Get the easiest ways to solve the greatest common divisor of 675, 684, 564 i.e 3 in different methods as follows.
Given Input numbers are 675, 684, 564
In the factoring method, we have to find the divisors of all numbers
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 (675, 684, 564) = 3.
Given numbers are 675, 684, 564
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 675, 684, 564 is 3.
Given numbers are 675, 684, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 684) = 51300
GCD(675, 684) = ( 675 x 684 ) / 51300
= 675 / 684
= 675
Step2:
LCM(9, 564) = 1692
GCD(9, 564) = ( 9 x 564 ) / 1692
= 9 / 564
= 9
So, Greatest Common Divisor of 675, 684, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 684, 564
The greatest common divisor of numbers 675, 684, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 684, 564 is 3.
1. What is the GCD of 675, 684, 564?
GCD of given numbers 675, 684, 564 is 3
2. How to calculate the greatest common divisor of 675, 684, 564?
We can find the highest common divisor of 675, 684, 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 675, 684, 564 i.e 3.
3. How can I use the GCD of 675, 684, 564Calculator?
Out the numbers 675, 684, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.