Online GCD Calculator is useful to find the GCD of 338, 290, 440, 864 quickly. Get the easiest ways to solve the greatest common divisor of 338, 290, 440, 864 i.e 2 in different methods as follows.
Given Input numbers are 338, 290, 440, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
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
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (338, 290, 440, 864) = 2.
Given numbers are 338, 290, 440, 864
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 290 are 2 x 5 x 29
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 338, 290, 440, 864 is 2.
Given numbers are 338, 290, 440, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 290) = 49010
GCD(338, 290) = ( 338 x 290 ) / 49010
= 338 / 290
= 338
Step2:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 338, 290, 440, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 290, 440, 864
The greatest common divisor of numbers 338, 290, 440, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 290, 440, 864 is 2.
1. What is the GCD of 338, 290, 440, 864?
GCD of given numbers 338, 290, 440, 864 is 2
2. How to calculate the greatest common divisor of 338, 290, 440, 864?
We can find the highest common divisor of 338, 290, 440, 864 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 338, 290, 440, 864 i.e 2.
3. How can I use the GCD of 338, 290, 440, 864Calculator?
Out the numbers 338, 290, 440, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.