Online GCD Calculator is useful to find the GCD of 405, 198, 338, 333 quickly. Get the easiest ways to solve the greatest common divisor of 405, 198, 338, 333 i.e 1 in different methods as follows.
Given Input numbers are 405, 198, 338, 333
In the factoring method, we have to find the divisors of all numbers
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
GCD of numbers is the greatest common divisor
So, the GCD (405, 198, 338, 333) = 1.
Given numbers are 405, 198, 338, 333
The list of prime factors of all numbers are
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 338 are 2 x 13 x 13
Prime factors of 333 are 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 405, 198, 338, 333
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(405, 198) = 8910
GCD(405, 198) = ( 405 x 198 ) / 8910
= 405 / 198
= 405
Step2:
LCM(9, 338) = 3042
GCD(9, 338) = ( 9 x 338 ) / 3042
= 9 / 338
= 9
Step3:
LCM(1, 333) = 333
GCD(1, 333) = ( 1 x 333 ) / 333
= 1 / 333
= 1
So, Greatest Common Divisor of 405, 198, 338, 333 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 405, 198, 338, 333
The greatest common divisor of numbers 405, 198, 338, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 198, 338, 333 is 1.
1. What is the GCD of 405, 198, 338, 333?
GCD of given numbers 405, 198, 338, 333 is 1
2. How to calculate the greatest common divisor of 405, 198, 338, 333?
We can find the highest common divisor of 405, 198, 338, 333 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 405, 198, 338, 333 i.e 1.
3. How can I use the GCD of 405, 198, 338, 333Calculator?
Out the numbers 405, 198, 338, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.