Online GCD Calculator is useful to find the GCD of 595, 200, 585, 462 quickly. Get the easiest ways to solve the greatest common divisor of 595, 200, 585, 462 i.e 1 in different methods as follows.
Given Input numbers are 595, 200, 585, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (595, 200, 585, 462) = 1.
Given numbers are 595, 200, 585, 462
The list of prime factors of all numbers are
Prime factors of 595 are 5 x 7 x 17
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 595, 200, 585, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(595, 200) = 23800
GCD(595, 200) = ( 595 x 200 ) / 23800
= 595 / 200
= 595
Step2:
LCM(5, 585) = 585
GCD(5, 585) = ( 5 x 585 ) / 585
= 5 / 585
= 5
Step3:
LCM(5, 462) = 2310
GCD(5, 462) = ( 5 x 462 ) / 2310
= 5 / 462
= 5
So, Greatest Common Divisor of 595, 200, 585, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 595, 200, 585, 462
The greatest common divisor of numbers 595, 200, 585, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 595, 200, 585, 462 is 1.
1. What is the GCD of 595, 200, 585, 462?
GCD of given numbers 595, 200, 585, 462 is 1
2. How to calculate the greatest common divisor of 595, 200, 585, 462?
We can find the highest common divisor of 595, 200, 585, 462 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 595, 200, 585, 462 i.e 1.
3. How can I use the GCD of 595, 200, 585, 462Calculator?
Out the numbers 595, 200, 585, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.