Online GCD Calculator is useful to find the GCD of 585, 559, 234 quickly. Get the easiest ways to solve the greatest common divisor of 585, 559, 234 i.e 13 in different methods as follows.
Given Input numbers are 585, 559, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (585, 559, 234) = 13.
Given numbers are 585, 559, 234
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 559 are 13 x 43
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 131
Therefore, GCD of 585, 559, 234 is 13.
Given numbers are 585, 559, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 559) = 25155
GCD(585, 559) = ( 585 x 559 ) / 25155
= 585 / 559
= 585
Step2:
LCM(13, 234) = 234
GCD(13, 234) = ( 13 x 234 ) / 234
= 13 / 234
= 13
So, Greatest Common Divisor of 585, 559, 234 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 559, 234
The greatest common divisor of numbers 585, 559, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 559, 234 is 13.
1. What is the GCD of 585, 559, 234?
GCD of given numbers 585, 559, 234 is 13
2. How to calculate the greatest common divisor of 585, 559, 234?
We can find the highest common divisor of 585, 559, 234 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 585, 559, 234 i.e 13.
3. How can I use the GCD of 585, 559, 234Calculator?
Out the numbers 585, 559, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.