Online GCD Calculator is useful to find the GCD of 368, 218, 260, 990 quickly. Get the easiest ways to solve the greatest common divisor of 368, 218, 260, 990 i.e 2 in different methods as follows.
Given Input numbers are 368, 218, 260, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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 (368, 218, 260, 990) = 2.
Given numbers are 368, 218, 260, 990
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 218 are 2 x 109
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 368, 218, 260, 990 is 2.
Given numbers are 368, 218, 260, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 218) = 40112
GCD(368, 218) = ( 368 x 218 ) / 40112
= 368 / 218
= 368
Step2:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
Step3:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
So, Greatest Common Divisor of 368, 218, 260, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 218, 260, 990
The greatest common divisor of numbers 368, 218, 260, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 218, 260, 990 is 2.
1. What is the GCD of 368, 218, 260, 990?
GCD of given numbers 368, 218, 260, 990 is 2
2. How to calculate the greatest common divisor of 368, 218, 260, 990?
We can find the highest common divisor of 368, 218, 260, 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 368, 218, 260, 990 i.e 2.
3. How can I use the GCD of 368, 218, 260, 990Calculator?
Out the numbers 368, 218, 260, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.