Online GCD Calculator is useful to find the GCD of 394, 684, 304, 732 quickly. Get the easiest ways to solve the greatest common divisor of 394, 684, 304, 732 i.e 2 in different methods as follows.
Given Input numbers are 394, 684, 304, 732
In the factoring method, we have to find the divisors of all numbers
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (394, 684, 304, 732) = 2.
Given numbers are 394, 684, 304, 732
The list of prime factors of all numbers are
Prime factors of 394 are 2 x 197
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 394, 684, 304, 732 is 2.
Given numbers are 394, 684, 304, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(394, 684) = 134748
GCD(394, 684) = ( 394 x 684 ) / 134748
= 394 / 684
= 394
Step2:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
Step3:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
So, Greatest Common Divisor of 394, 684, 304, 732 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 394, 684, 304, 732
The greatest common divisor of numbers 394, 684, 304, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 684, 304, 732 is 2.
1. What is the GCD of 394, 684, 304, 732?
GCD of given numbers 394, 684, 304, 732 is 2
2. How to calculate the greatest common divisor of 394, 684, 304, 732?
We can find the highest common divisor of 394, 684, 304, 732 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 394, 684, 304, 732 i.e 2.
3. How can I use the GCD of 394, 684, 304, 732Calculator?
Out the numbers 394, 684, 304, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.