GCD of 528, 909, 13, 408 Calculator

Given Input numbers are 528, 909, 13, 408

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 528, 909, 13, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 909, 13, 408 is 1.

Therefore, GCD of numbers 528, 909, 13, 408 is 1

Given Input Data is 528, 909, 13, 408

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 13 is 13

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(528, 909) = 159984

GCD(528, 909) = ( 528 x 909 ) / 159984

GCD(528, 909) = 479952 / 159984

GCD(528, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 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 528, 909, 13, 408 is 1

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• GCD of 474, 103, 46, 724
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1. What is the GCD of 528, 909, 13, 408?

GCD of 528, 909, 13, 408 is 1

2. Where do I get the detailed procedure to find GCD of 528, 909, 13, 408?

You can find a detailed procedure to find GCD of 528, 909, 13, 408 on our page.

3. How to find GCD of 528, 909, 13, 408 on a calculator?

You can find the GCD of 528, 909, 13, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.