GCD of 264, 904, 47, 508 Calculator

Given Input numbers are 264, 904, 47, 508

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 264, 904, 47, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 904, 47, 508 is 1.

Therefore, GCD of numbers 264, 904, 47, 508 is 1

Given Input Data is 264, 904, 47, 508

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 47 is 47

Prime Factorization of 508 is 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

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(264, 904) = 29832

GCD(264, 904) = ( 264 x 904 ) / 29832

GCD(264, 904) = 238656 / 29832

GCD(264, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 47

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

LCM(8, 47) = 376

GCD(8, 47) = ( 8 x 47 ) / 376

GCD(8, 47) = 376 / 376

GCD(8, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 264, 904, 47, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 957, 86, 582
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• GCD of 148, 356, 16, 565
• GCD of 580, 801, 43, 920

1. What is the GCD of 264, 904, 47, 508?

GCD of 264, 904, 47, 508 is 1

2. Where do I get the detailed procedure to find GCD of 264, 904, 47, 508?

You can find a detailed procedure to find GCD of 264, 904, 47, 508 on our page.

3. How to find GCD of 264, 904, 47, 508 on a calculator?

You can find the GCD of 264, 904, 47, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.