Online GCD Calculator is useful to find the GCD of 564, 585, 589, 272 quickly. Get the easiest ways to solve the greatest common divisor of 564, 585, 589, 272 i.e 1 in different methods as follows.
Given Input numbers are 564, 585, 589, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (564, 585, 589, 272) = 1.
Given numbers are 564, 585, 589, 272
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 589 are 19 x 31
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 585, 589, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 585) = 109980
GCD(564, 585) = ( 564 x 585 ) / 109980
= 564 / 585
= 564
Step2:
LCM(3, 589) = 1767
GCD(3, 589) = ( 3 x 589 ) / 1767
= 3 / 589
= 3
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 564, 585, 589, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 585, 589, 272
The greatest common divisor of numbers 564, 585, 589, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 585, 589, 272 is 1.
1. What is the GCD of 564, 585, 589, 272?
GCD of given numbers 564, 585, 589, 272 is 1
2. How to calculate the greatest common divisor of 564, 585, 589, 272?
We can find the highest common divisor of 564, 585, 589, 272 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 564, 585, 589, 272 i.e 1.
3. How can I use the GCD of 564, 585, 589, 272Calculator?
Out the numbers 564, 585, 589, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.