GCD of 192, 896, 14, 309 Calculator

Given Input numbers are 192, 896, 14, 309

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 14

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

1, 2, 7, 14

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 192, 896, 14, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 896, 14, 309 is 1.

Therefore, GCD of numbers 192, 896, 14, 309 is 1

Given Input Data is 192, 896, 14, 309

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 309 is 3 x 103

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(192, 896) = 2688

GCD(192, 896) = ( 192 x 896 ) / 2688

GCD(192, 896) = 172032 / 2688

GCD(192, 896) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 14

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

LCM(64, 14) = 448

GCD(64, 14) = ( 64 x 14 ) / 448

GCD(64, 14) = 896 / 448

GCD(64, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 192, 896, 14, 309 is 1

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• GCD of 624, 425, 56, 702
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1. What is the GCD of 192, 896, 14, 309?

GCD of 192, 896, 14, 309 is 1

2. Where do I get the detailed procedure to find GCD of 192, 896, 14, 309?

You can find a detailed procedure to find GCD of 192, 896, 14, 309 on our page.

3. How to find GCD of 192, 896, 14, 309 on a calculator?

You can find the GCD of 192, 896, 14, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.