GCD of 825, 405, 509, 768 Calculator

Given Input numbers are 825, 405, 509, 768

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 825, 405, 509, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 405, 509, 768 is 1.

Therefore, GCD of numbers 825, 405, 509, 768 is 1

Given Input Data is 825, 405, 509, 768

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 509 is 509

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(825, 405) = 22275

GCD(825, 405) = ( 825 x 405 ) / 22275

GCD(825, 405) = 334125 / 22275

GCD(825, 405) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 509

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

LCM(15, 509) = 7635

GCD(15, 509) = ( 15 x 509 ) / 7635

GCD(15, 509) = 7635 / 7635

GCD(15, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 825, 405, 509, 768 is 1

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1. What is the GCD of 825, 405, 509, 768?

GCD of 825, 405, 509, 768 is 1

2. Where do I get the detailed procedure to find GCD of 825, 405, 509, 768?

You can find a detailed procedure to find GCD of 825, 405, 509, 768 on our page.

3. How to find GCD of 825, 405, 509, 768 on a calculator?

You can find the GCD of 825, 405, 509, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.