Online GCD Calculator is useful to find the GCD of 198, 684, 405, 797 quickly. Get the easiest ways to solve the greatest common divisor of 198, 684, 405, 797 i.e 1 in different methods as follows.
Given Input numbers are 198, 684, 405, 797
In the factoring method, we have to find the divisors of all numbers
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 797 :
The positive integer divisors of 797 that completely divides 797 are.
1, 797
GCD of numbers is the greatest common divisor
So, the GCD (198, 684, 405, 797) = 1.
Given numbers are 198, 684, 405, 797
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 797 are 797
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 684, 405, 797
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 684) = 7524
GCD(198, 684) = ( 198 x 684 ) / 7524
= 198 / 684
= 198
Step2:
LCM(18, 405) = 810
GCD(18, 405) = ( 18 x 405 ) / 810
= 18 / 405
= 18
Step3:
LCM(9, 797) = 7173
GCD(9, 797) = ( 9 x 797 ) / 7173
= 9 / 797
= 9
So, Greatest Common Divisor of 198, 684, 405, 797 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 684, 405, 797
The greatest common divisor of numbers 198, 684, 405, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 684, 405, 797 is 1.
1. What is the GCD of 198, 684, 405, 797?
GCD of given numbers 198, 684, 405, 797 is 1
2. How to calculate the greatest common divisor of 198, 684, 405, 797?
We can find the highest common divisor of 198, 684, 405, 797 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 198, 684, 405, 797 i.e 1.
3. How can I use the GCD of 198, 684, 405, 797Calculator?
Out the numbers 198, 684, 405, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.