GCD of 904, 184, 530, 462 Calculator

Given Input numbers are 904, 184, 530, 462

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 904, 184, 530, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 184, 530, 462 is 2.

Therefore, GCD of numbers 904, 184, 530, 462 is 2

Given Input Data is 904, 184, 530, 462

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 184 is 2 x 2 x 2 x 23

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 184) = 20792

GCD(904, 184) = ( 904 x 184 ) / 20792

GCD(904, 184) = 166336 / 20792

GCD(904, 184) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 530

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

LCM(8, 530) = 2120

GCD(8, 530) = ( 8 x 530 ) / 2120

GCD(8, 530) = 4240 / 2120

GCD(8, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 904, 184, 530, 462 is 2

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1. What is the GCD of 904, 184, 530, 462?

GCD of 904, 184, 530, 462 is 2

2. Where do I get the detailed procedure to find GCD of 904, 184, 530, 462?

You can find a detailed procedure to find GCD of 904, 184, 530, 462 on our page.

3. How to find GCD of 904, 184, 530, 462 on a calculator?

You can find the GCD of 904, 184, 530, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.