Online GCD Calculator is useful to find the GCD of 904, 326, 338, 356 quickly. Get the easiest ways to solve the greatest common divisor of 904, 326, 338, 356 i.e 2 in different methods as follows.
Given Input numbers are 904, 326, 338, 356
In the factoring method, we have to find the divisors of all numbers
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (904, 326, 338, 356) = 2.
Given numbers are 904, 326, 338, 356
The list of prime factors of all numbers are
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 326 are 2 x 163
Prime factors of 338 are 2 x 13 x 13
Prime factors of 356 are 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 904, 326, 338, 356 is 2.
Given numbers are 904, 326, 338, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(904, 326) = 147352
GCD(904, 326) = ( 904 x 326 ) / 147352
= 904 / 326
= 904
Step2:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
Step3:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
So, Greatest Common Divisor of 904, 326, 338, 356 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 904, 326, 338, 356
The greatest common divisor of numbers 904, 326, 338, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 326, 338, 356 is 2.
1. What is the GCD of 904, 326, 338, 356?
GCD of given numbers 904, 326, 338, 356 is 2
2. How to calculate the greatest common divisor of 904, 326, 338, 356?
We can find the highest common divisor of 904, 326, 338, 356 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 904, 326, 338, 356 i.e 2.
3. How can I use the GCD of 904, 326, 338, 356Calculator?
Out the numbers 904, 326, 338, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.