Online GCD Calculator is useful to find the GCD of 564, 106, 388, 264 quickly. Get the easiest ways to solve the greatest common divisor of 564, 106, 388, 264 i.e 2 in different methods as follows.
Given Input numbers are 564, 106, 388, 264
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (564, 106, 388, 264) = 2.
Given numbers are 564, 106, 388, 264
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 106 are 2 x 53
Prime factors of 388 are 2 x 2 x 97
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 564, 106, 388, 264 is 2.
Given numbers are 564, 106, 388, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 106) = 29892
GCD(564, 106) = ( 564 x 106 ) / 29892
= 564 / 106
= 564
Step2:
LCM(2, 388) = 388
GCD(2, 388) = ( 2 x 388 ) / 388
= 2 / 388
= 2
Step3:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 564, 106, 388, 264 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 106, 388, 264
The greatest common divisor of numbers 564, 106, 388, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 106, 388, 264 is 2.
1. What is the GCD of 564, 106, 388, 264?
GCD of given numbers 564, 106, 388, 264 is 2
2. How to calculate the greatest common divisor of 564, 106, 388, 264?
We can find the highest common divisor of 564, 106, 388, 264 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 564, 106, 388, 264 i.e 2.
3. How can I use the GCD of 564, 106, 388, 264Calculator?
Out the numbers 564, 106, 388, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.