Online GCD Calculator is useful to find the GCD of 458, 428, 466, 990 quickly. Get the easiest ways to solve the greatest common divisor of 458, 428, 466, 990 i.e 2 in different methods as follows.
Given Input numbers are 458, 428, 466, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
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 (458, 428, 466, 990) = 2.
Given numbers are 458, 428, 466, 990
The list of prime factors of all numbers are
Prime factors of 458 are 2 x 229
Prime factors of 428 are 2 x 2 x 107
Prime factors of 466 are 2 x 233
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 458, 428, 466, 990 is 2.
Given numbers are 458, 428, 466, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(458, 428) = 98012
GCD(458, 428) = ( 458 x 428 ) / 98012
= 458 / 428
= 458
Step2:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
Step3:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
So, Greatest Common Divisor of 458, 428, 466, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 458, 428, 466, 990
The greatest common divisor of numbers 458, 428, 466, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 428, 466, 990 is 2.
1. What is the GCD of 458, 428, 466, 990?
GCD of given numbers 458, 428, 466, 990 is 2
2. How to calculate the greatest common divisor of 458, 428, 466, 990?
We can find the highest common divisor of 458, 428, 466, 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 458, 428, 466, 990 i.e 2.
3. How can I use the GCD of 458, 428, 466, 990Calculator?
Out the numbers 458, 428, 466, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.