Online GCD Calculator is useful to find the GCD of 313, 728, 663, 172 quickly. Get the easiest ways to solve the greatest common divisor of 313, 728, 663, 172 i.e 1 in different methods as follows.
Given Input numbers are 313, 728, 663, 172
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (313, 728, 663, 172) = 1.
Given numbers are 313, 728, 663, 172
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 663 are 3 x 13 x 17
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 728, 663, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 728) = 227864
GCD(313, 728) = ( 313 x 728 ) / 227864
= 313 / 728
= 313
Step2:
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
= 1 / 663
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 313, 728, 663, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 728, 663, 172
The greatest common divisor of numbers 313, 728, 663, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 728, 663, 172 is 1.
1. What is the GCD of 313, 728, 663, 172?
GCD of given numbers 313, 728, 663, 172 is 1
2. How to calculate the greatest common divisor of 313, 728, 663, 172?
We can find the highest common divisor of 313, 728, 663, 172 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, 728, 663, 172 i.e 1.
3. How can I use the GCD of 313, 728, 663, 172Calculator?
Out the numbers 313, 728, 663, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.