Online GCD Calculator is useful to find the GCD of 463, 312, 556, 720 quickly. Get the easiest ways to solve the greatest common divisor of 463, 312, 556, 720 i.e 1 in different methods as follows.
Given Input numbers are 463, 312, 556, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 463 :
The positive integer divisors of 463 that completely divides 463 are.
1, 463
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 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (463, 312, 556, 720) = 1.
Given numbers are 463, 312, 556, 720
The list of prime factors of all numbers are
Prime factors of 463 are 463
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 556 are 2 x 2 x 139
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 463, 312, 556, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(463, 312) = 144456
GCD(463, 312) = ( 463 x 312 ) / 144456
= 463 / 312
= 463
Step2:
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
= 1 / 556
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 463, 312, 556, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 463, 312, 556, 720
The greatest common divisor of numbers 463, 312, 556, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 463, 312, 556, 720 is 1.
1. What is the GCD of 463, 312, 556, 720?
GCD of given numbers 463, 312, 556, 720 is 1
2. How to calculate the greatest common divisor of 463, 312, 556, 720?
We can find the highest common divisor of 463, 312, 556, 720 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 463, 312, 556, 720 i.e 1.
3. How can I use the GCD of 463, 312, 556, 720Calculator?
Out the numbers 463, 312, 556, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.