GCD of 529, 809, 732, 306 Calculator

Given Input numbers are 529, 809, 732, 306

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

Divisors of 529

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

1, 23, 529

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 529, 809, 732, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 809, 732, 306 is 1.

Therefore, GCD of numbers 529, 809, 732, 306 is 1

Given Input Data is 529, 809, 732, 306

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 809 is 809

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 306 is 2 x 3 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(529, 809) = 427961

GCD(529, 809) = ( 529 x 809 ) / 427961

GCD(529, 809) = 427961 / 427961

GCD(529, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 529, 809, 732, 306 is 1

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1. What is the GCD of 529, 809, 732, 306?

GCD of 529, 809, 732, 306 is 1

2. Where do I get the detailed procedure to find GCD of 529, 809, 732, 306?

You can find a detailed procedure to find GCD of 529, 809, 732, 306 on our page.

3. How to find GCD of 529, 809, 732, 306 on a calculator?

You can find the GCD of 529, 809, 732, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.