Online GCD Calculator is useful to find the GCD of 378, 328, 596, 590 quickly. Get the easiest ways to solve the greatest common divisor of 378, 328, 596, 590 i.e 2 in different methods as follows.
Given Input numbers are 378, 328, 596, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (378, 328, 596, 590) = 2.
Given numbers are 378, 328, 596, 590
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 596 are 2 x 2 x 149
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 378, 328, 596, 590 is 2.
Given numbers are 378, 328, 596, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 328) = 61992
GCD(378, 328) = ( 378 x 328 ) / 61992
= 378 / 328
= 378
Step2:
LCM(2, 596) = 596
GCD(2, 596) = ( 2 x 596 ) / 596
= 2 / 596
= 2
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 378, 328, 596, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 328, 596, 590
The greatest common divisor of numbers 378, 328, 596, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 328, 596, 590 is 2.
1. What is the GCD of 378, 328, 596, 590?
GCD of given numbers 378, 328, 596, 590 is 2
2. How to calculate the greatest common divisor of 378, 328, 596, 590?
We can find the highest common divisor of 378, 328, 596, 590 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 378, 328, 596, 590 i.e 2.
3. How can I use the GCD of 378, 328, 596, 590Calculator?
Out the numbers 378, 328, 596, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.