Online GCD Calculator is useful to find the GCD of 789, 687, 207, 864 quickly. Get the easiest ways to solve the greatest common divisor of 789, 687, 207, 864 i.e 3 in different methods as follows.
Given Input numbers are 789, 687, 207, 864
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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
GCD of numbers is the greatest common divisor
So, the GCD (789, 687, 207, 864) = 3.
Given numbers are 789, 687, 207, 864
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 687 are 3 x 229
Prime factors of 207 are 3 x 3 x 23
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 789, 687, 207, 864 is 3.
Given numbers are 789, 687, 207, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 687) = 180681
GCD(789, 687) = ( 789 x 687 ) / 180681
= 789 / 687
= 789
Step2:
LCM(3, 207) = 207
GCD(3, 207) = ( 3 x 207 ) / 207
= 3 / 207
= 3
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 789, 687, 207, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 687, 207, 864
The greatest common divisor of numbers 789, 687, 207, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 687, 207, 864 is 3.
1. What is the GCD of 789, 687, 207, 864?
GCD of given numbers 789, 687, 207, 864 is 3
2. How to calculate the greatest common divisor of 789, 687, 207, 864?
We can find the highest common divisor of 789, 687, 207, 864 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, 687, 207, 864 i.e 3.
3. How can I use the GCD of 789, 687, 207, 864Calculator?
Out the numbers 789, 687, 207, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.