Online GCD Calculator is useful to find the GCD of 382, 104, 164, 589 quickly. Get the easiest ways to solve the greatest common divisor of 382, 104, 164, 589 i.e 1 in different methods as follows.
Given Input numbers are 382, 104, 164, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (382, 104, 164, 589) = 1.
Given numbers are 382, 104, 164, 589
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 164 are 2 x 2 x 41
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 382, 104, 164, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 104) = 19864
GCD(382, 104) = ( 382 x 104 ) / 19864
= 382 / 104
= 382
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
Step3:
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
= 2 / 589
= 2
So, Greatest Common Divisor of 382, 104, 164, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 104, 164, 589
The greatest common divisor of numbers 382, 104, 164, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 104, 164, 589 is 1.
1. What is the GCD of 382, 104, 164, 589?
GCD of given numbers 382, 104, 164, 589 is 1
2. How to calculate the greatest common divisor of 382, 104, 164, 589?
We can find the highest common divisor of 382, 104, 164, 589 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 382, 104, 164, 589 i.e 1.
3. How can I use the GCD of 382, 104, 164, 589Calculator?
Out the numbers 382, 104, 164, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.