Online GCD Calculator is useful to find the GCD of 864, 660, 120, 792 quickly. Get the easiest ways to solve the greatest common divisor of 864, 660, 120, 792 i.e 12 in different methods as follows.
Given Input numbers are 864, 660, 120, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (864, 660, 120, 792) = 12.
Given numbers are 864, 660, 120, 792
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 22 x 31
Therefore, GCD of 864, 660, 120, 792 is 12.
Given numbers are 864, 660, 120, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 660) = 47520
GCD(864, 660) = ( 864 x 660 ) / 47520
= 864 / 660
= 864
Step2:
LCM(12, 120) = 120
GCD(12, 120) = ( 12 x 120 ) / 120
= 12 / 120
= 12
Step3:
LCM(12, 792) = 792
GCD(12, 792) = ( 12 x 792 ) / 792
= 12 / 792
= 12
So, Greatest Common Divisor of 864, 660, 120, 792 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 660, 120, 792
The greatest common divisor of numbers 864, 660, 120, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 660, 120, 792 is 12.
1. What is the GCD of 864, 660, 120, 792?
GCD of given numbers 864, 660, 120, 792 is 12
2. How to calculate the greatest common divisor of 864, 660, 120, 792?
We can find the highest common divisor of 864, 660, 120, 792 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 864, 660, 120, 792 i.e 12.
3. How can I use the GCD of 864, 660, 120, 792Calculator?
Out the numbers 864, 660, 120, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.