Online GCD Calculator is useful to find the GCD of 990, 446, 166, 314 quickly. Get the easiest ways to solve the greatest common divisor of 990, 446, 166, 314 i.e 2 in different methods as follows.
Given Input numbers are 990, 446, 166, 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 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
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, 446, 166, 314) = 2.
Given numbers are 990, 446, 166, 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 446 are 2 x 223
Prime factors of 166 are 2 x 83
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 990, 446, 166, 314 is 2.
Given numbers are 990, 446, 166, 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, 446) = 220770
GCD(990, 446) = ( 990 x 446 ) / 220770
= 990 / 446
= 990
Step2:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 990, 446, 166, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 446, 166, 314
The greatest common divisor of numbers 990, 446, 166, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 446, 166, 314 is 2.
1. What is the GCD of 990, 446, 166, 314?
GCD of given numbers 990, 446, 166, 314 is 2
2. How to calculate the greatest common divisor of 990, 446, 166, 314?
We can find the highest common divisor of 990, 446, 166, 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, 446, 166, 314 i.e 2.
3. How can I use the GCD of 990, 446, 166, 314Calculator?
Out the numbers 990, 446, 166, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.