Online GCD Calculator is useful to find the GCD of 489, 564, 600, 989 quickly. Get the easiest ways to solve the greatest common divisor of 489, 564, 600, 989 i.e 1 in different methods as follows.
Given Input numbers are 489, 564, 600, 989
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (489, 564, 600, 989) = 1.
Given numbers are 489, 564, 600, 989
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 564, 600, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 564) = 91932
GCD(489, 564) = ( 489 x 564 ) / 91932
= 489 / 564
= 489
Step2:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
Step3:
LCM(3, 989) = 2967
GCD(3, 989) = ( 3 x 989 ) / 2967
= 3 / 989
= 3
So, Greatest Common Divisor of 489, 564, 600, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 564, 600, 989
The greatest common divisor of numbers 489, 564, 600, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 564, 600, 989 is 1.
1. What is the GCD of 489, 564, 600, 989?
GCD of given numbers 489, 564, 600, 989 is 1
2. How to calculate the greatest common divisor of 489, 564, 600, 989?
We can find the highest common divisor of 489, 564, 600, 989 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, 564, 600, 989 i.e 1.
3. How can I use the GCD of 489, 564, 600, 989Calculator?
Out the numbers 489, 564, 600, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.