Online GCD Calculator is useful to find the GCD of 585, 732, 792, 359 quickly. Get the easiest ways to solve the greatest common divisor of 585, 732, 792, 359 i.e 1 in different methods as follows.
Given Input numbers are 585, 732, 792, 359
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (585, 732, 792, 359) = 1.
Given numbers are 585, 732, 792, 359
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 732, 792, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 732) = 142740
GCD(585, 732) = ( 585 x 732 ) / 142740
= 585 / 732
= 585
Step2:
LCM(3, 792) = 792
GCD(3, 792) = ( 3 x 792 ) / 792
= 3 / 792
= 3
Step3:
LCM(3, 359) = 1077
GCD(3, 359) = ( 3 x 359 ) / 1077
= 3 / 359
= 3
So, Greatest Common Divisor of 585, 732, 792, 359 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 732, 792, 359
The greatest common divisor of numbers 585, 732, 792, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 732, 792, 359 is 1.
1. What is the GCD of 585, 732, 792, 359?
GCD of given numbers 585, 732, 792, 359 is 1
2. How to calculate the greatest common divisor of 585, 732, 792, 359?
We can find the highest common divisor of 585, 732, 792, 359 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, 732, 792, 359 i.e 1.
3. How can I use the GCD of 585, 732, 792, 359Calculator?
Out the numbers 585, 732, 792, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.