Online GCD Calculator is useful to find the GCD of 990, 174, 134, 484 quickly. Get the easiest ways to solve the greatest common divisor of 990, 174, 134, 484 i.e 2 in different methods as follows.
Given Input numbers are 990, 174, 134, 484
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 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (990, 174, 134, 484) = 2.
Given numbers are 990, 174, 134, 484
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 174 are 2 x 3 x 29
Prime factors of 134 are 2 x 67
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 990, 174, 134, 484 is 2.
Given numbers are 990, 174, 134, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 174) = 28710
GCD(990, 174) = ( 990 x 174 ) / 28710
= 990 / 174
= 990
Step2:
LCM(6, 134) = 402
GCD(6, 134) = ( 6 x 134 ) / 402
= 6 / 134
= 6
Step3:
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
= 2 / 484
= 2
So, Greatest Common Divisor of 990, 174, 134, 484 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 174, 134, 484
The greatest common divisor of numbers 990, 174, 134, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 174, 134, 484 is 2.
1. What is the GCD of 990, 174, 134, 484?
GCD of given numbers 990, 174, 134, 484 is 2
2. How to calculate the greatest common divisor of 990, 174, 134, 484?
We can find the highest common divisor of 990, 174, 134, 484 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, 174, 134, 484 i.e 2.
3. How can I use the GCD of 990, 174, 134, 484Calculator?
Out the numbers 990, 174, 134, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.