Online GCD Calculator is useful to find the GCD of 393, 180, 636 quickly. Get the easiest ways to solve the greatest common divisor of 393, 180, 636 i.e 3 in different methods as follows.
Given Input numbers are 393, 180, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
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 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (393, 180, 636) = 3.
Given numbers are 393, 180, 636
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 393, 180, 636 is 3.
Given numbers are 393, 180, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 180) = 23580
GCD(393, 180) = ( 393 x 180 ) / 23580
= 393 / 180
= 393
Step2:
LCM(3, 636) = 636
GCD(3, 636) = ( 3 x 636 ) / 636
= 3 / 636
= 3
So, Greatest Common Divisor of 393, 180, 636 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 180, 636
The greatest common divisor of numbers 393, 180, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 180, 636 is 3.
1. What is the GCD of 393, 180, 636?
GCD of given numbers 393, 180, 636 is 3
2. How to calculate the greatest common divisor of 393, 180, 636?
We can find the highest common divisor of 393, 180, 636 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 393, 180, 636 i.e 3.
3. How can I use the GCD of 393, 180, 636Calculator?
Out the numbers 393, 180, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.