Online GCD Calculator is useful to find the GCD of 678, 472, 792, 394 quickly. Get the easiest ways to solve the greatest common divisor of 678, 472, 792, 394 i.e 2 in different methods as follows.
Given Input numbers are 678, 472, 792, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (678, 472, 792, 394) = 2.
Given numbers are 678, 472, 792, 394
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 678, 472, 792, 394 is 2.
Given numbers are 678, 472, 792, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 472) = 160008
GCD(678, 472) = ( 678 x 472 ) / 160008
= 678 / 472
= 678
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 678, 472, 792, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 472, 792, 394
The greatest common divisor of numbers 678, 472, 792, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 472, 792, 394 is 2.
1. What is the GCD of 678, 472, 792, 394?
GCD of given numbers 678, 472, 792, 394 is 2
2. How to calculate the greatest common divisor of 678, 472, 792, 394?
We can find the highest common divisor of 678, 472, 792, 394 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 678, 472, 792, 394 i.e 2.
3. How can I use the GCD of 678, 472, 792, 394Calculator?
Out the numbers 678, 472, 792, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.