Online GCD Calculator is useful to find the GCD of 489, 405, 309, 171 quickly. Get the easiest ways to solve the greatest common divisor of 489, 405, 309, 171 i.e 3 in different methods as follows.
Given Input numbers are 489, 405, 309, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (489, 405, 309, 171) = 3.
Given numbers are 489, 405, 309, 171
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 309 are 3 x 103
Prime factors of 171 are 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 489, 405, 309, 171 is 3.
Given numbers are 489, 405, 309, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 405) = 66015
GCD(489, 405) = ( 489 x 405 ) / 66015
= 489 / 405
= 489
Step2:
LCM(3, 309) = 309
GCD(3, 309) = ( 3 x 309 ) / 309
= 3 / 309
= 3
Step3:
LCM(3, 171) = 171
GCD(3, 171) = ( 3 x 171 ) / 171
= 3 / 171
= 3
So, Greatest Common Divisor of 489, 405, 309, 171 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 405, 309, 171
The greatest common divisor of numbers 489, 405, 309, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 405, 309, 171 is 3.
1. What is the GCD of 489, 405, 309, 171?
GCD of given numbers 489, 405, 309, 171 is 3
2. How to calculate the greatest common divisor of 489, 405, 309, 171?
We can find the highest common divisor of 489, 405, 309, 171 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 489, 405, 309, 171 i.e 3.
3. How can I use the GCD of 489, 405, 309, 171Calculator?
Out the numbers 489, 405, 309, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.