Online GCD Calculator is useful to find the GCD of 138, 459, 231, 589 quickly. Get the easiest ways to solve the greatest common divisor of 138, 459, 231, 589 i.e 1 in different methods as follows.
Given Input numbers are 138, 459, 231, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
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 (138, 459, 231, 589) = 1.
Given numbers are 138, 459, 231, 589
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 231 are 3 x 7 x 11
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 138, 459, 231, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 459) = 21114
GCD(138, 459) = ( 138 x 459 ) / 21114
= 138 / 459
= 138
Step2:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
Step3:
LCM(3, 589) = 1767
GCD(3, 589) = ( 3 x 589 ) / 1767
= 3 / 589
= 3
So, Greatest Common Divisor of 138, 459, 231, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 459, 231, 589
The greatest common divisor of numbers 138, 459, 231, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 459, 231, 589 is 1.
1. What is the GCD of 138, 459, 231, 589?
GCD of given numbers 138, 459, 231, 589 is 1
2. How to calculate the greatest common divisor of 138, 459, 231, 589?
We can find the highest common divisor of 138, 459, 231, 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 138, 459, 231, 589 i.e 1.
3. How can I use the GCD of 138, 459, 231, 589Calculator?
Out the numbers 138, 459, 231, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.