Online GCD Calculator is useful to find the GCD of 393, 311, 675, 314 quickly. Get the easiest ways to solve the greatest common divisor of 393, 311, 675, 314 i.e 1 in different methods as follows.
Given Input numbers are 393, 311, 675, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (393, 311, 675, 314) = 1.
Given numbers are 393, 311, 675, 314
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 311 are 311
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 393, 311, 675, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 311) = 122223
GCD(393, 311) = ( 393 x 311 ) / 122223
= 393 / 311
= 393
Step2:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
Step3:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 393, 311, 675, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 311, 675, 314
The greatest common divisor of numbers 393, 311, 675, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 311, 675, 314 is 1.
1. What is the GCD of 393, 311, 675, 314?
GCD of given numbers 393, 311, 675, 314 is 1
2. How to calculate the greatest common divisor of 393, 311, 675, 314?
We can find the highest common divisor of 393, 311, 675, 314 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 393, 311, 675, 314 i.e 1.
3. How can I use the GCD of 393, 311, 675, 314Calculator?
Out the numbers 393, 311, 675, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.