Online GCD Calculator is useful to find the GCD of 504, 428, 945, 310 quickly. Get the easiest ways to solve the greatest common divisor of 504, 428, 945, 310 i.e 1 in different methods as follows.
Given Input numbers are 504, 428, 945, 310
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (504, 428, 945, 310) = 1.
Given numbers are 504, 428, 945, 310
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 428 are 2 x 2 x 107
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 310 are 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 428, 945, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 428) = 53928
GCD(504, 428) = ( 504 x 428 ) / 53928
= 504 / 428
= 504
Step2:
LCM(4, 945) = 3780
GCD(4, 945) = ( 4 x 945 ) / 3780
= 4 / 945
= 4
Step3:
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
= 1 / 310
= 1
So, Greatest Common Divisor of 504, 428, 945, 310 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 428, 945, 310
The greatest common divisor of numbers 504, 428, 945, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 428, 945, 310 is 1.
1. What is the GCD of 504, 428, 945, 310?
GCD of given numbers 504, 428, 945, 310 is 1
2. How to calculate the greatest common divisor of 504, 428, 945, 310?
We can find the highest common divisor of 504, 428, 945, 310 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, 428, 945, 310 i.e 1.
3. How can I use the GCD of 504, 428, 945, 310Calculator?
Out the numbers 504, 428, 945, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.