Online GCD Calculator is useful to find the GCD of 314, 178, 309 quickly. Get the easiest ways to solve the greatest common divisor of 314, 178, 309 i.e 1 in different methods as follows.
Given Input numbers are 314, 178, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (314, 178, 309) = 1.
Given numbers are 314, 178, 309
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 178 are 2 x 89
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 178, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 178) = 27946
GCD(314, 178) = ( 314 x 178 ) / 27946
= 314 / 178
= 314
Step2:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 314, 178, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 178, 309
The greatest common divisor of numbers 314, 178, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 178, 309 is 1.
1. What is the GCD of 314, 178, 309?
GCD of given numbers 314, 178, 309 is 1
2. How to calculate the greatest common divisor of 314, 178, 309?
We can find the highest common divisor of 314, 178, 309 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 314, 178, 309 i.e 1.
3. How can I use the GCD of 314, 178, 309Calculator?
Out the numbers 314, 178, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.