Online GCD Calculator is useful to find the GCD of 338, 213, 589 quickly. Get the easiest ways to solve the greatest common divisor of 338, 213, 589 i.e 1 in different methods as follows.
Given Input numbers are 338, 213, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
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 (338, 213, 589) = 1.
Given numbers are 338, 213, 589
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 213 are 3 x 71
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 338, 213, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 213) = 71994
GCD(338, 213) = ( 338 x 213 ) / 71994
= 338 / 213
= 338
Step2:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
So, Greatest Common Divisor of 338, 213, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 213, 589
The greatest common divisor of numbers 338, 213, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 213, 589 is 1.
1. What is the GCD of 338, 213, 589?
GCD of given numbers 338, 213, 589 is 1
2. How to calculate the greatest common divisor of 338, 213, 589?
We can find the highest common divisor of 338, 213, 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 338, 213, 589 i.e 1.
3. How can I use the GCD of 338, 213, 589Calculator?
Out the numbers 338, 213, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.