GCD of 509, 899, 184, 414 Calculator

Given Input numbers are 509, 899, 184, 414

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

Divisors of 509

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

1, 509

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 509, 899, 184, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 899, 184, 414 is 1.

Therefore, GCD of numbers 509, 899, 184, 414 is 1

Given Input Data is 509, 899, 184, 414

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

Prime Factorization of 509 is 509

Prime Factorization of 899 is 29 x 31

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(509, 899) = 457591

GCD(509, 899) = ( 509 x 899 ) / 457591

GCD(509, 899) = 457591 / 457591

GCD(509, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 509, 899, 184, 414 is 1

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1. What is the GCD of 509, 899, 184, 414?

GCD of 509, 899, 184, 414 is 1

2. Where do I get the detailed procedure to find GCD of 509, 899, 184, 414?

You can find a detailed procedure to find GCD of 509, 899, 184, 414 on our page.

3. How to find GCD of 509, 899, 184, 414 on a calculator?

You can find the GCD of 509, 899, 184, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.