GCD of 16, 309, 754, 839 Calculator

Given Input numbers are 16, 309, 754, 839

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 309

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

1, 3, 103, 309

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 16, 309, 754, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 309, 754, 839 is 1.

Therefore, GCD of numbers 16, 309, 754, 839 is 1

Given Input Data is 16, 309, 754, 839

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 309 is 3 x 103

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 839 is 839

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(16, 309) = 4944

GCD(16, 309) = ( 16 x 309 ) / 4944

GCD(16, 309) = 4944 / 4944

GCD(16, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 16, 309, 754, 839 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 265, 703, 824
• GCD of 68, 702, 710, 701
• GCD of 32, 924, 401, 161
• GCD of 68, 499, 488, 752
• GCD of 27, 888, 217, 151

1. What is the GCD of 16, 309, 754, 839?

GCD of 16, 309, 754, 839 is 1

2. Where do I get the detailed procedure to find GCD of 16, 309, 754, 839?

You can find a detailed procedure to find GCD of 16, 309, 754, 839 on our page.

3. How to find GCD of 16, 309, 754, 839 on a calculator?

You can find the GCD of 16, 309, 754, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.