Online GCD Calculator is useful to find the GCD of 234, 396, 304, 310 quickly. Get the easiest ways to solve the greatest common divisor of 234, 396, 304, 310 i.e 2 in different methods as follows.
Given Input numbers are 234, 396, 304, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (234, 396, 304, 310) = 2.
Given numbers are 234, 396, 304, 310
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21
Therefore, GCD of 234, 396, 304, 310 is 2.
Given numbers are 234, 396, 304, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 396) = 5148
GCD(234, 396) = ( 234 x 396 ) / 5148
= 234 / 396
= 234
Step2:
LCM(18, 304) = 2736
GCD(18, 304) = ( 18 x 304 ) / 2736
= 18 / 304
= 18
Step3:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
So, Greatest Common Divisor of 234, 396, 304, 310 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 396, 304, 310
The greatest common divisor of numbers 234, 396, 304, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 396, 304, 310 is 2.
1. What is the GCD of 234, 396, 304, 310?
GCD of given numbers 234, 396, 304, 310 is 2
2. How to calculate the greatest common divisor of 234, 396, 304, 310?
We can find the highest common divisor of 234, 396, 304, 310 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 234, 396, 304, 310 i.e 2.
3. How can I use the GCD of 234, 396, 304, 310Calculator?
Out the numbers 234, 396, 304, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.