Online GCD Calculator is useful to find the GCD of 489, 327, 912, 255 quickly. Get the easiest ways to solve the greatest common divisor of 489, 327, 912, 255 i.e 3 in different methods as follows.
Given Input numbers are 489, 327, 912, 255
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 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
GCD of numbers is the greatest common divisor
So, the GCD (489, 327, 912, 255) = 3.
Given numbers are 489, 327, 912, 255
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 327 are 3 x 109
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 255 are 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 489, 327, 912, 255 is 3.
Given numbers are 489, 327, 912, 255
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 327) = 53301
GCD(489, 327) = ( 489 x 327 ) / 53301
= 489 / 327
= 489
Step2:
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
= 3 / 912
= 3
Step3:
LCM(3, 255) = 255
GCD(3, 255) = ( 3 x 255 ) / 255
= 3 / 255
= 3
So, Greatest Common Divisor of 489, 327, 912, 255 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 327, 912, 255
The greatest common divisor of numbers 489, 327, 912, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 327, 912, 255 is 3.
1. What is the GCD of 489, 327, 912, 255?
GCD of given numbers 489, 327, 912, 255 is 3
2. How to calculate the greatest common divisor of 489, 327, 912, 255?
We can find the highest common divisor of 489, 327, 912, 255 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, 327, 912, 255 i.e 3.
3. How can I use the GCD of 489, 327, 912, 255Calculator?
Out the numbers 489, 327, 912, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.