GCD of 405, 496, 527, 129 Calculator

Given Input numbers are 405, 496, 527, 129

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

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 405, 496, 527, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 496, 527, 129 is 1.

Therefore, GCD of numbers 405, 496, 527, 129 is 1

Given Input Data is 405, 496, 527, 129

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

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 527 is 17 x 31

Prime Factorization of 129 is 3 x 43

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(405, 496) = 200880

GCD(405, 496) = ( 405 x 496 ) / 200880

GCD(405, 496) = 200880 / 200880

GCD(405, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 405, 496, 527, 129 is 1

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1. What is the GCD of 405, 496, 527, 129?

GCD of 405, 496, 527, 129 is 1

2. Where do I get the detailed procedure to find GCD of 405, 496, 527, 129?

You can find a detailed procedure to find GCD of 405, 496, 527, 129 on our page.

3. How to find GCD of 405, 496, 527, 129 on a calculator?

You can find the GCD of 405, 496, 527, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.