Online GCD Calculator is useful to find the GCD of 585, 592, 420 quickly. Get the easiest ways to solve the greatest common divisor of 585, 592, 420 i.e 1 in different methods as follows.
Given Input numbers are 585, 592, 420
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 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (585, 592, 420) = 1.
Given numbers are 585, 592, 420
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 592, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 592) = 346320
GCD(585, 592) = ( 585 x 592 ) / 346320
= 585 / 592
= 585
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 585, 592, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 592, 420
The greatest common divisor of numbers 585, 592, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 592, 420 is 1.
1. What is the GCD of 585, 592, 420?
GCD of given numbers 585, 592, 420 is 1
2. How to calculate the greatest common divisor of 585, 592, 420?
We can find the highest common divisor of 585, 592, 420 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, 592, 420 i.e 1.
3. How can I use the GCD of 585, 592, 420Calculator?
Out the numbers 585, 592, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.