Online GCD Calculator is useful to find the GCD of 590, 728, 720, 592 quickly. Get the easiest ways to solve the greatest common divisor of 590, 728, 720, 592 i.e 2 in different methods as follows.
Given Input numbers are 590, 728, 720, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (590, 728, 720, 592) = 2.
Given numbers are 590, 728, 720, 592
The list of prime factors of all numbers are
Prime factors of 590 are 2 x 5 x 59
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 590, 728, 720, 592 is 2.
Given numbers are 590, 728, 720, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(590, 728) = 214760
GCD(590, 728) = ( 590 x 728 ) / 214760
= 590 / 728
= 590
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
So, Greatest Common Divisor of 590, 728, 720, 592 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 590, 728, 720, 592
The greatest common divisor of numbers 590, 728, 720, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 728, 720, 592 is 2.
1. What is the GCD of 590, 728, 720, 592?
GCD of given numbers 590, 728, 720, 592 is 2
2. How to calculate the greatest common divisor of 590, 728, 720, 592?
We can find the highest common divisor of 590, 728, 720, 592 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 590, 728, 720, 592 i.e 2.
3. How can I use the GCD of 590, 728, 720, 592Calculator?
Out the numbers 590, 728, 720, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.