Online GCD Calculator is useful to find the GCD of 504, 472, 312, 731 quickly. Get the easiest ways to solve the greatest common divisor of 504, 472, 312, 731 i.e 1 in different methods as follows.
Given Input numbers are 504, 472, 312, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (504, 472, 312, 731) = 1.
Given numbers are 504, 472, 312, 731
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 472, 312, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 472) = 29736
GCD(504, 472) = ( 504 x 472 ) / 29736
= 504 / 472
= 504
Step2:
LCM(8, 312) = 312
GCD(8, 312) = ( 8 x 312 ) / 312
= 8 / 312
= 8
Step3:
LCM(8, 731) = 5848
GCD(8, 731) = ( 8 x 731 ) / 5848
= 8 / 731
= 8
So, Greatest Common Divisor of 504, 472, 312, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 472, 312, 731
The greatest common divisor of numbers 504, 472, 312, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 472, 312, 731 is 1.
1. What is the GCD of 504, 472, 312, 731?
GCD of given numbers 504, 472, 312, 731 is 1
2. How to calculate the greatest common divisor of 504, 472, 312, 731?
We can find the highest common divisor of 504, 472, 312, 731 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 504, 472, 312, 731 i.e 1.
3. How can I use the GCD of 504, 472, 312, 731Calculator?
Out the numbers 504, 472, 312, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.