GCD of 304, 904, 38, 780 Calculator

Given Input numbers are 304, 904, 38, 780

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

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

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 304, 904, 38, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 904, 38, 780 is 2.

Therefore, GCD of numbers 304, 904, 38, 780 is 2

Given Input Data is 304, 904, 38, 780

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 780 is 2 x 2 x 3 x 5 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(304, 904) = 34352

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

GCD(304, 904) = 274816 / 34352

GCD(304, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 38

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

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

GCD(8, 38) = 304 / 152

GCD(8, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 304, 904, 38, 780 is 2

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1. What is the GCD of 304, 904, 38, 780?

GCD of 304, 904, 38, 780 is 2

2. Where do I get the detailed procedure to find GCD of 304, 904, 38, 780?

You can find a detailed procedure to find GCD of 304, 904, 38, 780 on our page.

3. How to find GCD of 304, 904, 38, 780 on a calculator?

You can find the GCD of 304, 904, 38, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.