Online GCD Calculator is useful to find the GCD of 585, 471, 500, 472 quickly. Get the easiest ways to solve the greatest common divisor of 585, 471, 500, 472 i.e 1 in different methods as follows.
Given Input numbers are 585, 471, 500, 472
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 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (585, 471, 500, 472) = 1.
Given numbers are 585, 471, 500, 472
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 471 are 3 x 157
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 472 are 2 x 2 x 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 471, 500, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 471) = 91845
GCD(585, 471) = ( 585 x 471 ) / 91845
= 585 / 471
= 585
Step2:
LCM(3, 500) = 1500
GCD(3, 500) = ( 3 x 500 ) / 1500
= 3 / 500
= 3
Step3:
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
= 1 / 472
= 1
So, Greatest Common Divisor of 585, 471, 500, 472 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 471, 500, 472
The greatest common divisor of numbers 585, 471, 500, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 471, 500, 472 is 1.
1. What is the GCD of 585, 471, 500, 472?
GCD of given numbers 585, 471, 500, 472 is 1
2. How to calculate the greatest common divisor of 585, 471, 500, 472?
We can find the highest common divisor of 585, 471, 500, 472 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, 471, 500, 472 i.e 1.
3. How can I use the GCD of 585, 471, 500, 472Calculator?
Out the numbers 585, 471, 500, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.