Online GCD Calculator is useful to find the GCD of 508, 438, 585, 936 quickly. Get the easiest ways to solve the greatest common divisor of 508, 438, 585, 936 i.e 1 in different methods as follows.
Given Input numbers are 508, 438, 585, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (508, 438, 585, 936) = 1.
Given numbers are 508, 438, 585, 936
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 438 are 2 x 3 x 73
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 508, 438, 585, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 438) = 111252
GCD(508, 438) = ( 508 x 438 ) / 111252
= 508 / 438
= 508
Step2:
LCM(2, 585) = 1170
GCD(2, 585) = ( 2 x 585 ) / 1170
= 2 / 585
= 2
Step3:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
So, Greatest Common Divisor of 508, 438, 585, 936 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 438, 585, 936
The greatest common divisor of numbers 508, 438, 585, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 438, 585, 936 is 1.
1. What is the GCD of 508, 438, 585, 936?
GCD of given numbers 508, 438, 585, 936 is 1
2. How to calculate the greatest common divisor of 508, 438, 585, 936?
We can find the highest common divisor of 508, 438, 585, 936 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 508, 438, 585, 936 i.e 1.
3. How can I use the GCD of 508, 438, 585, 936Calculator?
Out the numbers 508, 438, 585, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.