Online GCD Calculator is useful to find the GCD of 290, 990, 128, 336 quickly. Get the easiest ways to solve the greatest common divisor of 290, 990, 128, 336 i.e 2 in different methods as follows.
Given Input numbers are 290, 990, 128, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
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 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (290, 990, 128, 336) = 2.
Given numbers are 290, 990, 128, 336
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 290, 990, 128, 336 is 2.
Given numbers are 290, 990, 128, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 990) = 28710
GCD(290, 990) = ( 290 x 990 ) / 28710
= 290 / 990
= 290
Step2:
LCM(10, 128) = 640
GCD(10, 128) = ( 10 x 128 ) / 640
= 10 / 128
= 10
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 290, 990, 128, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 990, 128, 336
The greatest common divisor of numbers 290, 990, 128, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 990, 128, 336 is 2.
1. What is the GCD of 290, 990, 128, 336?
GCD of given numbers 290, 990, 128, 336 is 2
2. How to calculate the greatest common divisor of 290, 990, 128, 336?
We can find the highest common divisor of 290, 990, 128, 336 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 290, 990, 128, 336 i.e 2.
3. How can I use the GCD of 290, 990, 128, 336Calculator?
Out the numbers 290, 990, 128, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.