Online GCD Calculator is useful to find the GCD of 123, 304, 321, 465 quickly. Get the easiest ways to solve the greatest common divisor of 123, 304, 321, 465 i.e 1 in different methods as follows.
Given Input numbers are 123, 304, 321, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (123, 304, 321, 465) = 1.
Given numbers are 123, 304, 321, 465
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 321 are 3 x 107
Prime factors of 465 are 3 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 304, 321, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 304) = 37392
GCD(123, 304) = ( 123 x 304 ) / 37392
= 123 / 304
= 123
Step2:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
Step3:
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
= 1 / 465
= 1
So, Greatest Common Divisor of 123, 304, 321, 465 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 304, 321, 465
The greatest common divisor of numbers 123, 304, 321, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 304, 321, 465 is 1.
1. What is the GCD of 123, 304, 321, 465?
GCD of given numbers 123, 304, 321, 465 is 1
2. How to calculate the greatest common divisor of 123, 304, 321, 465?
We can find the highest common divisor of 123, 304, 321, 465 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 123, 304, 321, 465 i.e 1.
3. How can I use the GCD of 123, 304, 321, 465Calculator?
Out the numbers 123, 304, 321, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.