Online GCD Calculator is useful to find the GCD of 998, 467, 512, 990 quickly. Get the easiest ways to solve the greatest common divisor of 998, 467, 512, 990 i.e 1 in different methods as follows.
Given Input numbers are 998, 467, 512, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 467 :
The positive integer divisors of 467 that completely divides 467 are.
1, 467
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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 (998, 467, 512, 990) = 1.
Given numbers are 998, 467, 512, 990
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 467 are 467
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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 998, 467, 512, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 467) = 466066
GCD(998, 467) = ( 998 x 467 ) / 466066
= 998 / 467
= 998
Step2:
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
= 1 / 512
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 998, 467, 512, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 467, 512, 990
The greatest common divisor of numbers 998, 467, 512, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 467, 512, 990 is 1.
1. What is the GCD of 998, 467, 512, 990?
GCD of given numbers 998, 467, 512, 990 is 1
2. How to calculate the greatest common divisor of 998, 467, 512, 990?
We can find the highest common divisor of 998, 467, 512, 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 998, 467, 512, 990 i.e 1.
3. How can I use the GCD of 998, 467, 512, 990Calculator?
Out the numbers 998, 467, 512, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.