Online GCD Calculator is useful to find the GCD of 333, 381, 312 quickly. Get the easiest ways to solve the greatest common divisor of 333, 381, 312 i.e 3 in different methods as follows.
Given Input numbers are 333, 381, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (333, 381, 312) = 3.
Given numbers are 333, 381, 312
The list of prime factors of all numbers are
Prime factors of 333 are 3 x 3 x 37
Prime factors of 381 are 3 x 127
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 333, 381, 312 is 3.
Given numbers are 333, 381, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(333, 381) = 42291
GCD(333, 381) = ( 333 x 381 ) / 42291
= 333 / 381
= 333
Step2:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
So, Greatest Common Divisor of 333, 381, 312 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 333, 381, 312
The greatest common divisor of numbers 333, 381, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 381, 312 is 3.
1. What is the GCD of 333, 381, 312?
GCD of given numbers 333, 381, 312 is 3
2. How to calculate the greatest common divisor of 333, 381, 312?
We can find the highest common divisor of 333, 381, 312 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 333, 381, 312 i.e 3.
3. How can I use the GCD of 333, 381, 312Calculator?
Out the numbers 333, 381, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.