Online GCD Calculator is useful to find the GCD of 312, 477, 516, 585 quickly. Get the easiest ways to solve the greatest common divisor of 312, 477, 516, 585 i.e 3 in different methods as follows.
Given Input numbers are 312, 477, 516, 585
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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
GCD of numbers is the greatest common divisor
So, the GCD (312, 477, 516, 585) = 3.
Given numbers are 312, 477, 516, 585
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 477 are 3 x 3 x 53
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 312, 477, 516, 585 is 3.
Given numbers are 312, 477, 516, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 477) = 49608
GCD(312, 477) = ( 312 x 477 ) / 49608
= 312 / 477
= 312
Step2:
LCM(3, 516) = 516
GCD(3, 516) = ( 3 x 516 ) / 516
= 3 / 516
= 3
Step3:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
So, Greatest Common Divisor of 312, 477, 516, 585 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 477, 516, 585
The greatest common divisor of numbers 312, 477, 516, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 477, 516, 585 is 3.
1. What is the GCD of 312, 477, 516, 585?
GCD of given numbers 312, 477, 516, 585 is 3
2. How to calculate the greatest common divisor of 312, 477, 516, 585?
We can find the highest common divisor of 312, 477, 516, 585 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 312, 477, 516, 585 i.e 3.
3. How can I use the GCD of 312, 477, 516, 585Calculator?
Out the numbers 312, 477, 516, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.