Online GCD Calculator is useful to find the GCD of 309, 730, 466, 123 quickly. Get the easiest ways to solve the greatest common divisor of 309, 730, 466, 123 i.e 1 in different methods as follows.
Given Input numbers are 309, 730, 466, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (309, 730, 466, 123) = 1.
Given numbers are 309, 730, 466, 123
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 730 are 2 x 5 x 73
Prime factors of 466 are 2 x 233
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 730, 466, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 730) = 225570
GCD(309, 730) = ( 309 x 730 ) / 225570
= 309 / 730
= 309
Step2:
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
= 1 / 466
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 309, 730, 466, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 730, 466, 123
The greatest common divisor of numbers 309, 730, 466, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 730, 466, 123 is 1.
1. What is the GCD of 309, 730, 466, 123?
GCD of given numbers 309, 730, 466, 123 is 1
2. How to calculate the greatest common divisor of 309, 730, 466, 123?
We can find the highest common divisor of 309, 730, 466, 123 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 309, 730, 466, 123 i.e 1.
3. How can I use the GCD of 309, 730, 466, 123Calculator?
Out the numbers 309, 730, 466, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.