GCD of 309, 845, 296, 513 Calculator

Given Input numbers are 309, 845, 296, 513

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 309, 845, 296, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 845, 296, 513 is 1.

Therefore, GCD of numbers 309, 845, 296, 513 is 1

Given Input Data is 309, 845, 296, 513

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(309, 845) = 261105

GCD(309, 845) = ( 309 x 845 ) / 261105

GCD(309, 845) = 261105 / 261105

GCD(309, 845) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 309, 845, 296, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 596, 775, 479
• GCD of 592, 970, 682, 602
• GCD of 835, 412, 193, 956
• GCD of 620, 501, 805, 885
• GCD of 429, 710, 965, 293

1. What is the GCD of 309, 845, 296, 513?

GCD of 309, 845, 296, 513 is 1

2. Where do I get the detailed procedure to find GCD of 309, 845, 296, 513?

You can find a detailed procedure to find GCD of 309, 845, 296, 513 on our page.

3. How to find GCD of 309, 845, 296, 513 on a calculator?

You can find the GCD of 309, 845, 296, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.