GCD of 509, 529, 66, 230 Calculator

Given Input numbers are 509, 529, 66, 230

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 509, 529, 66, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 529, 66, 230 is 1.

Therefore, GCD of numbers 509, 529, 66, 230 is 1

Given Input Data is 509, 529, 66, 230

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

Prime Factorization of 509 is 509

Prime Factorization of 529 is 23 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 230 is 2 x 5 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, 529) = 269261

GCD(509, 529) = ( 509 x 529 ) / 269261

GCD(509, 529) = 269261 / 269261

GCD(509, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 509, 529, 66, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 994, 39, 344
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• GCD of 583, 305, 20, 856

1. What is the GCD of 509, 529, 66, 230?

GCD of 509, 529, 66, 230 is 1

2. Where do I get the detailed procedure to find GCD of 509, 529, 66, 230?

You can find a detailed procedure to find GCD of 509, 529, 66, 230 on our page.

3. How to find GCD of 509, 529, 66, 230 on a calculator?

You can find the GCD of 509, 529, 66, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.