Online GCD Calculator is useful to find the GCD of 838, 438, 256, 324 quickly. Get the easiest ways to solve the greatest common divisor of 838, 438, 256, 324 i.e 2 in different methods as follows.
Given Input numbers are 838, 438, 256, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (838, 438, 256, 324) = 2.
Given numbers are 838, 438, 256, 324
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 438 are 2 x 3 x 73
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 838, 438, 256, 324 is 2.
Given numbers are 838, 438, 256, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 438) = 183522
GCD(838, 438) = ( 838 x 438 ) / 183522
= 838 / 438
= 838
Step2:
LCM(2, 256) = 256
GCD(2, 256) = ( 2 x 256 ) / 256
= 2 / 256
= 2
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 838, 438, 256, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 438, 256, 324
The greatest common divisor of numbers 838, 438, 256, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 438, 256, 324 is 2.
1. What is the GCD of 838, 438, 256, 324?
GCD of given numbers 838, 438, 256, 324 is 2
2. How to calculate the greatest common divisor of 838, 438, 256, 324?
We can find the highest common divisor of 838, 438, 256, 324 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 838, 438, 256, 324 i.e 2.
3. How can I use the GCD of 838, 438, 256, 324Calculator?
Out the numbers 838, 438, 256, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.