Online GCD Calculator is useful to find the GCD of 313, 363, 460 quickly. Get the easiest ways to solve the greatest common divisor of 313, 363, 460 i.e 1 in different methods as follows.
Given Input numbers are 313, 363, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (313, 363, 460) = 1.
Given numbers are 313, 363, 460
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 363 are 3 x 11 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 363, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 363) = 113619
GCD(313, 363) = ( 313 x 363 ) / 113619
= 313 / 363
= 313
Step2:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
So, Greatest Common Divisor of 313, 363, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 363, 460
The greatest common divisor of numbers 313, 363, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 363, 460 is 1.
1. What is the GCD of 313, 363, 460?
GCD of given numbers 313, 363, 460 is 1
2. How to calculate the greatest common divisor of 313, 363, 460?
We can find the highest common divisor of 313, 363, 460 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 313, 363, 460 i.e 1.
3. How can I use the GCD of 313, 363, 460Calculator?
Out the numbers 313, 363, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.