Online GCD Calculator is useful to find the GCD of 864, 777, 430, 990 quickly. Get the easiest ways to solve the greatest common divisor of 864, 777, 430, 990 i.e 1 in different methods as follows.
Given Input numbers are 864, 777, 430, 990
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 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (864, 777, 430, 990) = 1.
Given numbers are 864, 777, 430, 990
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 777 are 3 x 7 x 37
Prime factors of 430 are 2 x 5 x 43
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 777, 430, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 777) = 223776
GCD(864, 777) = ( 864 x 777 ) / 223776
= 864 / 777
= 864
Step2:
LCM(3, 430) = 1290
GCD(3, 430) = ( 3 x 430 ) / 1290
= 3 / 430
= 3
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 864, 777, 430, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 777, 430, 990
The greatest common divisor of numbers 864, 777, 430, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 777, 430, 990 is 1.
1. What is the GCD of 864, 777, 430, 990?
GCD of given numbers 864, 777, 430, 990 is 1
2. How to calculate the greatest common divisor of 864, 777, 430, 990?
We can find the highest common divisor of 864, 777, 430, 990 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, 777, 430, 990 i.e 1.
3. How can I use the GCD of 864, 777, 430, 990Calculator?
Out the numbers 864, 777, 430, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.