Online GCD Calculator is useful to find the GCD of 324, 120, 666, 872 quickly. Get the easiest ways to solve the greatest common divisor of 324, 120, 666, 872 i.e 2 in different methods as follows.
Given Input numbers are 324, 120, 666, 872
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (324, 120, 666, 872) = 2.
Given numbers are 324, 120, 666, 872
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 324, 120, 666, 872 is 2.
Given numbers are 324, 120, 666, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 120) = 3240
GCD(324, 120) = ( 324 x 120 ) / 3240
= 324 / 120
= 324
Step2:
LCM(12, 666) = 1332
GCD(12, 666) = ( 12 x 666 ) / 1332
= 12 / 666
= 12
Step3:
LCM(6, 872) = 2616
GCD(6, 872) = ( 6 x 872 ) / 2616
= 6 / 872
= 6
So, Greatest Common Divisor of 324, 120, 666, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 120, 666, 872
The greatest common divisor of numbers 324, 120, 666, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 120, 666, 872 is 2.
1. What is the GCD of 324, 120, 666, 872?
GCD of given numbers 324, 120, 666, 872 is 2
2. How to calculate the greatest common divisor of 324, 120, 666, 872?
We can find the highest common divisor of 324, 120, 666, 872 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, 120, 666, 872 i.e 2.
3. How can I use the GCD of 324, 120, 666, 872Calculator?
Out the numbers 324, 120, 666, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.