Online GCD Calculator is useful to find the GCD of 480, 516, 404, 313 quickly. Get the easiest ways to solve the greatest common divisor of 480, 516, 404, 313 i.e 1 in different methods as follows.
Given Input numbers are 480, 516, 404, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (480, 516, 404, 313) = 1.
Given numbers are 480, 516, 404, 313
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 404 are 2 x 2 x 101
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 480, 516, 404, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 516) = 20640
GCD(480, 516) = ( 480 x 516 ) / 20640
= 480 / 516
= 480
Step2:
LCM(12, 404) = 1212
GCD(12, 404) = ( 12 x 404 ) / 1212
= 12 / 404
= 12
Step3:
LCM(4, 313) = 1252
GCD(4, 313) = ( 4 x 313 ) / 1252
= 4 / 313
= 4
So, Greatest Common Divisor of 480, 516, 404, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 516, 404, 313
The greatest common divisor of numbers 480, 516, 404, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 516, 404, 313 is 1.
1. What is the GCD of 480, 516, 404, 313?
GCD of given numbers 480, 516, 404, 313 is 1
2. How to calculate the greatest common divisor of 480, 516, 404, 313?
We can find the highest common divisor of 480, 516, 404, 313 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 480, 516, 404, 313 i.e 1.
3. How can I use the GCD of 480, 516, 404, 313Calculator?
Out the numbers 480, 516, 404, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.