Online GCD Calculator is useful to find the GCD of 390, 388, 582, 105 quickly. Get the easiest ways to solve the greatest common divisor of 390, 388, 582, 105 i.e 1 in different methods as follows.
Given Input numbers are 390, 388, 582, 105
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 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (390, 388, 582, 105) = 1.
Given numbers are 390, 388, 582, 105
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 388 are 2 x 2 x 97
Prime factors of 582 are 2 x 3 x 97
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 388, 582, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 388) = 75660
GCD(390, 388) = ( 390 x 388 ) / 75660
= 390 / 388
= 390
Step2:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
Step3:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
So, Greatest Common Divisor of 390, 388, 582, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 388, 582, 105
The greatest common divisor of numbers 390, 388, 582, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 388, 582, 105 is 1.
1. What is the GCD of 390, 388, 582, 105?
GCD of given numbers 390, 388, 582, 105 is 1
2. How to calculate the greatest common divisor of 390, 388, 582, 105?
We can find the highest common divisor of 390, 388, 582, 105 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, 388, 582, 105 i.e 1.
3. How can I use the GCD of 390, 388, 582, 105Calculator?
Out the numbers 390, 388, 582, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.