Online GCD Calculator is useful to find the GCD of 399, 309, 231 quickly. Get the easiest ways to solve the greatest common divisor of 399, 309, 231 i.e 3 in different methods as follows.
Given Input numbers are 399, 309, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (399, 309, 231) = 3.
Given numbers are 399, 309, 231
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 309 are 3 x 103
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 399, 309, 231 is 3.
Given numbers are 399, 309, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 309) = 41097
GCD(399, 309) = ( 399 x 309 ) / 41097
= 399 / 309
= 399
Step2:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
So, Greatest Common Divisor of 399, 309, 231 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 309, 231
The greatest common divisor of numbers 399, 309, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 309, 231 is 3.
1. What is the GCD of 399, 309, 231?
GCD of given numbers 399, 309, 231 is 3
2. How to calculate the greatest common divisor of 399, 309, 231?
We can find the highest common divisor of 399, 309, 231 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 399, 309, 231 i.e 3.
3. How can I use the GCD of 399, 309, 231Calculator?
Out the numbers 399, 309, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.