Online GCD Calculator is useful to find the GCD of 180, 813, 327 quickly. Get the easiest ways to solve the greatest common divisor of 180, 813, 327 i.e 3 in different methods as follows.
Given Input numbers are 180, 813, 327
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (180, 813, 327) = 3.
Given numbers are 180, 813, 327
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 813 are 3 x 271
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 180, 813, 327 is 3.
Given numbers are 180, 813, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 813) = 48780
GCD(180, 813) = ( 180 x 813 ) / 48780
= 180 / 813
= 180
Step2:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 180, 813, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 813, 327
The greatest common divisor of numbers 180, 813, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 813, 327 is 3.
1. What is the GCD of 180, 813, 327?
GCD of given numbers 180, 813, 327 is 3
2. How to calculate the greatest common divisor of 180, 813, 327?
We can find the highest common divisor of 180, 813, 327 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 180, 813, 327 i.e 3.
3. How can I use the GCD of 180, 813, 327Calculator?
Out the numbers 180, 813, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.