Online GCD Calculator is useful to find the GCD of 489, 159, 312, 683 quickly. Get the easiest ways to solve the greatest common divisor of 489, 159, 312, 683 i.e 1 in different methods as follows.
Given Input numbers are 489, 159, 312, 683
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 683 :
The positive integer divisors of 683 that completely divides 683 are.
1, 683
GCD of numbers is the greatest common divisor
So, the GCD (489, 159, 312, 683) = 1.
Given numbers are 489, 159, 312, 683
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 159 are 3 x 53
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 683 are 683
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 159, 312, 683
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 159) = 25917
GCD(489, 159) = ( 489 x 159 ) / 25917
= 489 / 159
= 489
Step2:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
Step3:
LCM(3, 683) = 2049
GCD(3, 683) = ( 3 x 683 ) / 2049
= 3 / 683
= 3
So, Greatest Common Divisor of 489, 159, 312, 683 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 159, 312, 683
The greatest common divisor of numbers 489, 159, 312, 683 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 159, 312, 683 is 1.
1. What is the GCD of 489, 159, 312, 683?
GCD of given numbers 489, 159, 312, 683 is 1
2. How to calculate the greatest common divisor of 489, 159, 312, 683?
We can find the highest common divisor of 489, 159, 312, 683 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, 159, 312, 683 i.e 1.
3. How can I use the GCD of 489, 159, 312, 683Calculator?
Out the numbers 489, 159, 312, 683 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.