GCD of 16, 836, 299, 102 Calculator

Given Input numbers are 16, 836, 299, 102

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 16, 836, 299, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 836, 299, 102 is 1.

Therefore, GCD of numbers 16, 836, 299, 102 is 1

Given Input Data is 16, 836, 299, 102

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 299 is 13 x 23

Prime Factorization of 102 is 2 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(16, 836) = 3344

GCD(16, 836) = ( 16 x 836 ) / 3344

GCD(16, 836) = 13376 / 3344

GCD(16, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 299

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

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

GCD(4, 299) = 1196 / 1196

GCD(4, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 16, 836, 299, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 538, 612, 338
• GCD of 33, 705, 604, 161
• GCD of 79, 460, 715, 773
• GCD of 87, 776, 421, 895
• GCD of 53, 214, 539, 730

1. What is the GCD of 16, 836, 299, 102?

GCD of 16, 836, 299, 102 is 1

2. Where do I get the detailed procedure to find GCD of 16, 836, 299, 102?

You can find a detailed procedure to find GCD of 16, 836, 299, 102 on our page.

3. How to find GCD of 16, 836, 299, 102 on a calculator?

You can find the GCD of 16, 836, 299, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.