Online GCD Calculator is useful to find the GCD of 312, 472, 401, 584 quickly. Get the easiest ways to solve the greatest common divisor of 312, 472, 401, 584 i.e 1 in different methods as follows.
Given Input numbers are 312, 472, 401, 584
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (312, 472, 401, 584) = 1.
Given numbers are 312, 472, 401, 584
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 472 are 2 x 2 x 2 x 59
Prime factors of 401 are 401
Prime factors of 584 are 2 x 2 x 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 472, 401, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 472) = 18408
GCD(312, 472) = ( 312 x 472 ) / 18408
= 312 / 472
= 312
Step2:
LCM(8, 401) = 3208
GCD(8, 401) = ( 8 x 401 ) / 3208
= 8 / 401
= 8
Step3:
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
= 1 / 584
= 1
So, Greatest Common Divisor of 312, 472, 401, 584 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 472, 401, 584
The greatest common divisor of numbers 312, 472, 401, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 472, 401, 584 is 1.
1. What is the GCD of 312, 472, 401, 584?
GCD of given numbers 312, 472, 401, 584 is 1
2. How to calculate the greatest common divisor of 312, 472, 401, 584?
We can find the highest common divisor of 312, 472, 401, 584 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, 472, 401, 584 i.e 1.
3. How can I use the GCD of 312, 472, 401, 584Calculator?
Out the numbers 312, 472, 401, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.