Online GCD Calculator is useful to find the GCD of 489, 346, 666, 990 quickly. Get the easiest ways to solve the greatest common divisor of 489, 346, 666, 990 i.e 1 in different methods as follows.
Given Input numbers are 489, 346, 666, 990
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 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (489, 346, 666, 990) = 1.
Given numbers are 489, 346, 666, 990
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 346 are 2 x 173
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 346, 666, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 346) = 169194
GCD(489, 346) = ( 489 x 346 ) / 169194
= 489 / 346
= 489
Step2:
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
= 1 / 666
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 489, 346, 666, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 346, 666, 990
The greatest common divisor of numbers 489, 346, 666, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 346, 666, 990 is 1.
1. What is the GCD of 489, 346, 666, 990?
GCD of given numbers 489, 346, 666, 990 is 1
2. How to calculate the greatest common divisor of 489, 346, 666, 990?
We can find the highest common divisor of 489, 346, 666, 990 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, 346, 666, 990 i.e 1.
3. How can I use the GCD of 489, 346, 666, 990Calculator?
Out the numbers 489, 346, 666, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.