Online GCD Calculator is useful to find the GCD of 738, 323, 577, 204 quickly. Get the easiest ways to solve the greatest common divisor of 738, 323, 577, 204 i.e 1 in different methods as follows.
Given Input numbers are 738, 323, 577, 204
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 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 577 :
The positive integer divisors of 577 that completely divides 577 are.
1, 577
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (738, 323, 577, 204) = 1.
Given numbers are 738, 323, 577, 204
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 323 are 17 x 19
Prime factors of 577 are 577
Prime factors of 204 are 2 x 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 323, 577, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 323) = 238374
GCD(738, 323) = ( 738 x 323 ) / 238374
= 738 / 323
= 738
Step2:
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
= 1 / 577
= 1
Step3:
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
= 1 / 204
= 1
So, Greatest Common Divisor of 738, 323, 577, 204 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 323, 577, 204
The greatest common divisor of numbers 738, 323, 577, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 323, 577, 204 is 1.
1. What is the GCD of 738, 323, 577, 204?
GCD of given numbers 738, 323, 577, 204 is 1
2. How to calculate the greatest common divisor of 738, 323, 577, 204?
We can find the highest common divisor of 738, 323, 577, 204 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, 323, 577, 204 i.e 1.
3. How can I use the GCD of 738, 323, 577, 204Calculator?
Out the numbers 738, 323, 577, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.