Online GCD Calculator is useful to find the GCD of 909, 317, 364 quickly. Get the easiest ways to solve the greatest common divisor of 909, 317, 364 i.e 1 in different methods as follows.
Given Input numbers are 909, 317, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (909, 317, 364) = 1.
Given numbers are 909, 317, 364
The list of prime factors of all numbers are
Prime factors of 909 are 3 x 3 x 101
Prime factors of 317 are 317
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 909, 317, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(909, 317) = 288153
GCD(909, 317) = ( 909 x 317 ) / 288153
= 909 / 317
= 909
Step2:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 909, 317, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 909, 317, 364
The greatest common divisor of numbers 909, 317, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 317, 364 is 1.
1. What is the GCD of 909, 317, 364?
GCD of given numbers 909, 317, 364 is 1
2. How to calculate the greatest common divisor of 909, 317, 364?
We can find the highest common divisor of 909, 317, 364 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 909, 317, 364 i.e 1.
3. How can I use the GCD of 909, 317, 364Calculator?
Out the numbers 909, 317, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.