Online GCD Calculator is useful to find the GCD of 390, 738, 930, 336 quickly. Get the easiest ways to solve the greatest common divisor of 390, 738, 930, 336 i.e 6 in different methods as follows.
Given Input numbers are 390, 738, 930, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (390, 738, 930, 336) = 6.
Given numbers are 390, 738, 930, 336
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 390, 738, 930, 336 is 6.
Given numbers are 390, 738, 930, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 738) = 47970
GCD(390, 738) = ( 390 x 738 ) / 47970
= 390 / 738
= 390
Step2:
LCM(6, 930) = 930
GCD(6, 930) = ( 6 x 930 ) / 930
= 6 / 930
= 6
Step3:
LCM(6, 336) = 336
GCD(6, 336) = ( 6 x 336 ) / 336
= 6 / 336
= 6
So, Greatest Common Divisor of 390, 738, 930, 336 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 738, 930, 336
The greatest common divisor of numbers 390, 738, 930, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 738, 930, 336 is 6.
1. What is the GCD of 390, 738, 930, 336?
GCD of given numbers 390, 738, 930, 336 is 6
2. How to calculate the greatest common divisor of 390, 738, 930, 336?
We can find the highest common divisor of 390, 738, 930, 336 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 390, 738, 930, 336 i.e 6.
3. How can I use the GCD of 390, 738, 930, 336Calculator?
Out the numbers 390, 738, 930, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.