GCD of 504, 482, 53, 408 Calculator

Given Input numbers are 504, 482, 53, 408

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 504, 482, 53, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 482, 53, 408 is 1.

Therefore, GCD of numbers 504, 482, 53, 408 is 1

Given Input Data is 504, 482, 53, 408

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 482 is 2 x 241

Prime Factorization of 53 is 53

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

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(504, 482) = 121464

GCD(504, 482) = ( 504 x 482 ) / 121464

GCD(504, 482) = 242928 / 121464

GCD(504, 482) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 504, 482, 53, 408 is 1

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• GCD of 743, 797, 11, 978
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1. What is the GCD of 504, 482, 53, 408?

GCD of 504, 482, 53, 408 is 1

2. Where do I get the detailed procedure to find GCD of 504, 482, 53, 408?

You can find a detailed procedure to find GCD of 504, 482, 53, 408 on our page.

3. How to find GCD of 504, 482, 53, 408 on a calculator?

You can find the GCD of 504, 482, 53, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.