Online GCD Calculator is useful to find the GCD of 309, 327, 645 quickly. Get the easiest ways to solve the greatest common divisor of 309, 327, 645 i.e 3 in different methods as follows.
Given Input numbers are 309, 327, 645
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 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (309, 327, 645) = 3.
Given numbers are 309, 327, 645
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 327 are 3 x 109
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 31
Therefore, GCD of 309, 327, 645 is 3.
Given numbers are 309, 327, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 327) = 33681
GCD(309, 327) = ( 309 x 327 ) / 33681
= 309 / 327
= 309
Step2:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
So, Greatest Common Divisor of 309, 327, 645 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 327, 645
The greatest common divisor of numbers 309, 327, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 327, 645 is 3.
1. What is the GCD of 309, 327, 645?
GCD of given numbers 309, 327, 645 is 3
2. How to calculate the greatest common divisor of 309, 327, 645?
We can find the highest common divisor of 309, 327, 645 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, 327, 645 i.e 3.
3. How can I use the GCD of 309, 327, 645Calculator?
Out the numbers 309, 327, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.