GCD of 904, 304, 112, 838 Calculator

Given Input numbers are 904, 304, 112, 838

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (904, 304, 112, 838) = 2.

Given numbers are 904, 304, 112, 838

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 904, 304, 112, 838 is 2.

Given numbers are 904, 304, 112, 838

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(904, 304) = 34352

GCD(904, 304) = ( 904 x 304 ) / 34352

= 904 / 304

= 904

Step2:

LCM(8, 112) = 112

GCD(8, 112) = ( 8 x 112 ) / 112

= 8 / 112

= 8

Step3:

LCM(8, 838) = 3352

GCD(8, 838) = ( 8 x 838 ) / 3352

= 8 / 838

= 8

So, Greatest Common Divisor of 904, 304, 112, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 521, 373, 850
• GCD of 822, 314, 678, 354
• GCD of 798, 337, 285, 825
• GCD of 725, 283, 921, 903
• GCD of 360, 388, 858, 869

Given numbers are 904, 304, 112, 838
The greatest common divisor of numbers 904, 304, 112, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 304, 112, 838 is 2.

1. What is the GCD of 904, 304, 112, 838?

GCD of given numbers 904, 304, 112, 838 is 2

2. How to calculate the greatest common divisor of 904, 304, 112, 838?

We can find the highest common divisor of 904, 304, 112, 838 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, 304, 112, 838 i.e 2.

3. How can I use the GCD of 904, 304, 112, 838Calculator?

Out the numbers 904, 304, 112, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.