Online GCD Calculator is useful to find the GCD of 990, 918, 182, 440 quickly. Get the easiest ways to solve the greatest common divisor of 990, 918, 182, 440 i.e 2 in different methods as follows.
Given Input numbers are 990, 918, 182, 440
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (990, 918, 182, 440) = 2.
Given numbers are 990, 918, 182, 440
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 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 182 are 2 x 7 x 13
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 990, 918, 182, 440 is 2.
Given numbers are 990, 918, 182, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 918) = 50490
GCD(990, 918) = ( 990 x 918 ) / 50490
= 990 / 918
= 990
Step2:
LCM(18, 182) = 1638
GCD(18, 182) = ( 18 x 182 ) / 1638
= 18 / 182
= 18
Step3:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
So, Greatest Common Divisor of 990, 918, 182, 440 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 918, 182, 440
The greatest common divisor of numbers 990, 918, 182, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 918, 182, 440 is 2.
1. What is the GCD of 990, 918, 182, 440?
GCD of given numbers 990, 918, 182, 440 is 2
2. How to calculate the greatest common divisor of 990, 918, 182, 440?
We can find the highest common divisor of 990, 918, 182, 440 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, 918, 182, 440 i.e 2.
3. How can I use the GCD of 990, 918, 182, 440Calculator?
Out the numbers 990, 918, 182, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.