Online GCD Calculator is useful to find the GCD of 309, 636, 270, 393 quickly. Get the easiest ways to solve the greatest common divisor of 309, 636, 270, 393 i.e 3 in different methods as follows.
Given Input numbers are 309, 636, 270, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
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
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
GCD of numbers is the greatest common divisor
So, the GCD (309, 636, 270, 393) = 3.
Given numbers are 309, 636, 270, 393
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 309, 636, 270, 393 is 3.
Given numbers are 309, 636, 270, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 636) = 65508
GCD(309, 636) = ( 309 x 636 ) / 65508
= 309 / 636
= 309
Step2:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
Step3:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
So, Greatest Common Divisor of 309, 636, 270, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 636, 270, 393
The greatest common divisor of numbers 309, 636, 270, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 636, 270, 393 is 3.
1. What is the GCD of 309, 636, 270, 393?
GCD of given numbers 309, 636, 270, 393 is 3
2. How to calculate the greatest common divisor of 309, 636, 270, 393?
We can find the highest common divisor of 309, 636, 270, 393 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 309, 636, 270, 393 i.e 3.
3. How can I use the GCD of 309, 636, 270, 393Calculator?
Out the numbers 309, 636, 270, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.