Online GCD Calculator is useful to find the GCD of 738, 409, 323, 918 quickly. Get the easiest ways to solve the greatest common divisor of 738, 409, 323, 918 i.e 1 in different methods as follows.
Given Input numbers are 738, 409, 323, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (738, 409, 323, 918) = 1.
Given numbers are 738, 409, 323, 918
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 409 are 409
Prime factors of 323 are 17 x 19
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 409, 323, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 409) = 301842
GCD(738, 409) = ( 738 x 409 ) / 301842
= 738 / 409
= 738
Step2:
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
= 1 / 323
= 1
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 738, 409, 323, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 409, 323, 918
The greatest common divisor of numbers 738, 409, 323, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 409, 323, 918 is 1.
1. What is the GCD of 738, 409, 323, 918?
GCD of given numbers 738, 409, 323, 918 is 1
2. How to calculate the greatest common divisor of 738, 409, 323, 918?
We can find the highest common divisor of 738, 409, 323, 918 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 738, 409, 323, 918 i.e 1.
3. How can I use the GCD of 738, 409, 323, 918Calculator?
Out the numbers 738, 409, 323, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.