Online GCD Calculator is useful to find the GCD of 729, 387, 233, 198 quickly. Get the easiest ways to solve the greatest common divisor of 729, 387, 233, 198 i.e 1 in different methods as follows.
Given Input numbers are 729, 387, 233, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 233 :
The positive integer divisors of 233 that completely divides 233 are.
1, 233
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
GCD of numbers is the greatest common divisor
So, the GCD (729, 387, 233, 198) = 1.
Given numbers are 729, 387, 233, 198
The list of prime factors of all numbers are
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 387 are 3 x 3 x 43
Prime factors of 233 are 233
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 387, 233, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 387) = 31347
GCD(729, 387) = ( 729 x 387 ) / 31347
= 729 / 387
= 729
Step2:
LCM(9, 233) = 2097
GCD(9, 233) = ( 9 x 233 ) / 2097
= 9 / 233
= 9
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 729, 387, 233, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 387, 233, 198
The greatest common divisor of numbers 729, 387, 233, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 387, 233, 198 is 1.
1. What is the GCD of 729, 387, 233, 198?
GCD of given numbers 729, 387, 233, 198 is 1
2. How to calculate the greatest common divisor of 729, 387, 233, 198?
We can find the highest common divisor of 729, 387, 233, 198 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 729, 387, 233, 198 i.e 1.
3. How can I use the GCD of 729, 387, 233, 198Calculator?
Out the numbers 729, 387, 233, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.