Online GCD Calculator is useful to find the GCD of 789, 864, 255 quickly. Get the easiest ways to solve the greatest common divisor of 789, 864, 255 i.e 3 in different methods as follows.
Given Input numbers are 789, 864, 255
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
GCD of numbers is the greatest common divisor
So, the GCD (789, 864, 255) = 3.
Given numbers are 789, 864, 255
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 255 are 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 789, 864, 255 is 3.
Given numbers are 789, 864, 255
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 864) = 227232
GCD(789, 864) = ( 789 x 864 ) / 227232
= 789 / 864
= 789
Step2:
LCM(3, 255) = 255
GCD(3, 255) = ( 3 x 255 ) / 255
= 3 / 255
= 3
So, Greatest Common Divisor of 789, 864, 255 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 864, 255
The greatest common divisor of numbers 789, 864, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 864, 255 is 3.
1. What is the GCD of 789, 864, 255?
GCD of given numbers 789, 864, 255 is 3
2. How to calculate the greatest common divisor of 789, 864, 255?
We can find the highest common divisor of 789, 864, 255 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 789, 864, 255 i.e 3.
3. How can I use the GCD of 789, 864, 255Calculator?
Out the numbers 789, 864, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.