Online GCD Calculator is useful to find the GCD of 489, 395, 105, 188 quickly. Get the easiest ways to solve the greatest common divisor of 489, 395, 105, 188 i.e 1 in different methods as follows.
Given Input numbers are 489, 395, 105, 188
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 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (489, 395, 105, 188) = 1.
Given numbers are 489, 395, 105, 188
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 395 are 5 x 79
Prime factors of 105 are 3 x 5 x 7
Prime factors of 188 are 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 395, 105, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 395) = 193155
GCD(489, 395) = ( 489 x 395 ) / 193155
= 489 / 395
= 489
Step2:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
Step3:
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
= 1 / 188
= 1
So, Greatest Common Divisor of 489, 395, 105, 188 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 395, 105, 188
The greatest common divisor of numbers 489, 395, 105, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 395, 105, 188 is 1.
1. What is the GCD of 489, 395, 105, 188?
GCD of given numbers 489, 395, 105, 188 is 1
2. How to calculate the greatest common divisor of 489, 395, 105, 188?
We can find the highest common divisor of 489, 395, 105, 188 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, 395, 105, 188 i.e 1.
3. How can I use the GCD of 489, 395, 105, 188Calculator?
Out the numbers 489, 395, 105, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.