Online GCD Calculator is useful to find the GCD of 804, 360, 966 quickly. Get the easiest ways to solve the greatest common divisor of 804, 360, 966 i.e 6 in different methods as follows.
Given Input numbers are 804, 360, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (804, 360, 966) = 6.
Given numbers are 804, 360, 966
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 804, 360, 966 is 6.
Given numbers are 804, 360, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 360) = 24120
GCD(804, 360) = ( 804 x 360 ) / 24120
= 804 / 360
= 804
Step2:
LCM(12, 966) = 1932
GCD(12, 966) = ( 12 x 966 ) / 1932
= 12 / 966
= 12
So, Greatest Common Divisor of 804, 360, 966 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 360, 966
The greatest common divisor of numbers 804, 360, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 360, 966 is 6.
1. What is the GCD of 804, 360, 966?
GCD of given numbers 804, 360, 966 is 6
2. How to calculate the greatest common divisor of 804, 360, 966?
We can find the highest common divisor of 804, 360, 966 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 804, 360, 966 i.e 6.
3. How can I use the GCD of 804, 360, 966Calculator?
Out the numbers 804, 360, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.