GCD of 904, 530, 408 Calculator

Given Input numbers are 904, 530, 408

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 904, 530, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 530, 408 is 2.

Therefore, GCD of numbers 904, 530, 408 is 2

Given Input Data is 904, 530, 408

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 530 is 2 x 5 x 53

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 530) = 239560

GCD(904, 530) = ( 904 x 530 ) / 239560

GCD(904, 530) = 479120 / 239560

GCD(904, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 904, 530, 408 is 2

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1. What is the GCD of 904, 530, 408?

GCD of 904, 530, 408 is 2

2. Where do I get the detailed procedure to find GCD of 904, 530, 408?

You can find a detailed procedure to find GCD of 904, 530, 408 on our page.

3. How to find GCD of 904, 530, 408 on a calculator?

You can find the GCD of 904, 530, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.