Online GCD Calculator is useful to find the GCD of 990, 423, 489, 314 quickly. Get the easiest ways to solve the greatest common divisor of 990, 423, 489, 314 i.e 1 in different methods as follows.
Given Input numbers are 990, 423, 489, 314
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (990, 423, 489, 314) = 1.
Given numbers are 990, 423, 489, 314
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 423 are 3 x 3 x 47
Prime factors of 489 are 3 x 163
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 423, 489, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 423) = 46530
GCD(990, 423) = ( 990 x 423 ) / 46530
= 990 / 423
= 990
Step2:
LCM(9, 489) = 1467
GCD(9, 489) = ( 9 x 489 ) / 1467
= 9 / 489
= 9
Step3:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
So, Greatest Common Divisor of 990, 423, 489, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 423, 489, 314
The greatest common divisor of numbers 990, 423, 489, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 423, 489, 314 is 1.
1. What is the GCD of 990, 423, 489, 314?
GCD of given numbers 990, 423, 489, 314 is 1
2. How to calculate the greatest common divisor of 990, 423, 489, 314?
We can find the highest common divisor of 990, 423, 489, 314 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 990, 423, 489, 314 i.e 1.
3. How can I use the GCD of 990, 423, 489, 314Calculator?
Out the numbers 990, 423, 489, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.