GCD of 904, 268, 94, 312 Calculator

Given Input numbers are 904, 268, 94, 312

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 904, 268, 94, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 268, 94, 312 is 2.

Therefore, GCD of numbers 904, 268, 94, 312 is 2

Given Input Data is 904, 268, 94, 312

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 94 is 2 x 47

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(904, 268) = 60568

GCD(904, 268) = ( 904 x 268 ) / 60568

GCD(904, 268) = 242272 / 60568

GCD(904, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 904, 268, 94, 312 is 2

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1. What is the GCD of 904, 268, 94, 312?

GCD of 904, 268, 94, 312 is 2

2. Where do I get the detailed procedure to find GCD of 904, 268, 94, 312?

You can find a detailed procedure to find GCD of 904, 268, 94, 312 on our page.

3. How to find GCD of 904, 268, 94, 312 on a calculator?

You can find the GCD of 904, 268, 94, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.