GCD of 15, 687, 309, 813 Calculator

Given Input numbers are 15, 687, 309, 813

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 309

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

1, 3, 103, 309

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 15, 687, 309, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 687, 309, 813 is 3.

Therefore, GCD of numbers 15, 687, 309, 813 is 3

Given Input Data is 15, 687, 309, 813

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 687 is 3 x 229

Prime Factorization of 309 is 3 x 103

Prime Factorization of 813 is 3 x 271

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(15, 687) = 3435

GCD(15, 687) = ( 15 x 687 ) / 3435

GCD(15, 687) = 10305 / 3435

GCD(15, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 813

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

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

GCD(3, 813) = 2439 / 813

GCD(3, 813) = 3

GCD of 15, 687, 309, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 620, 880, 528
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• GCD of 31, 449, 106, 395
• GCD of 77, 612, 386, 659
• GCD of 19, 977, 360, 910

1. What is the GCD of 15, 687, 309, 813?

GCD of 15, 687, 309, 813 is 3

2. Where do I get the detailed procedure to find GCD of 15, 687, 309, 813?

You can find a detailed procedure to find GCD of 15, 687, 309, 813 on our page.

3. How to find GCD of 15, 687, 309, 813 on a calculator?

You can find the GCD of 15, 687, 309, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.