GCD of 14, 796, 516, 273 Calculator

Given Input numbers are 14, 796, 516, 273

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 14, 796, 516, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 796, 516, 273 is 1.

Therefore, GCD of numbers 14, 796, 516, 273 is 1

Given Input Data is 14, 796, 516, 273

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 273 is 3 x 7 x 13

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(14, 796) = 5572

GCD(14, 796) = ( 14 x 796 ) / 5572

GCD(14, 796) = 11144 / 5572

GCD(14, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 14, 796, 516, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 584, 419, 181
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• GCD of 31, 676, 144, 599
• GCD of 80, 406, 297, 562

1. What is the GCD of 14, 796, 516, 273?

GCD of 14, 796, 516, 273 is 1

2. Where do I get the detailed procedure to find GCD of 14, 796, 516, 273?

You can find a detailed procedure to find GCD of 14, 796, 516, 273 on our page.

3. How to find GCD of 14, 796, 516, 273 on a calculator?

You can find the GCD of 14, 796, 516, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.