Online GCD Calculator is useful to find the GCD of 813, 135, 555, 864 quickly. Get the easiest ways to solve the greatest common divisor of 813, 135, 555, 864 i.e 3 in different methods as follows.
Given Input numbers are 813, 135, 555, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
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 (813, 135, 555, 864) = 3.
Given numbers are 813, 135, 555, 864
The list of prime factors of all numbers are
Prime factors of 813 are 3 x 271
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 555 are 3 x 5 x 37
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 813, 135, 555, 864 is 3.
Given numbers are 813, 135, 555, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(813, 135) = 36585
GCD(813, 135) = ( 813 x 135 ) / 36585
= 813 / 135
= 813
Step2:
LCM(3, 555) = 555
GCD(3, 555) = ( 3 x 555 ) / 555
= 3 / 555
= 3
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 813, 135, 555, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 813, 135, 555, 864
The greatest common divisor of numbers 813, 135, 555, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 135, 555, 864 is 3.
1. What is the GCD of 813, 135, 555, 864?
GCD of given numbers 813, 135, 555, 864 is 3
2. How to calculate the greatest common divisor of 813, 135, 555, 864?
We can find the highest common divisor of 813, 135, 555, 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 813, 135, 555, 864 i.e 3.
3. How can I use the GCD of 813, 135, 555, 864Calculator?
Out the numbers 813, 135, 555, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.