GCD of 192, 431, 14 Calculator

Given Input numbers are 192, 431, 14

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 192, 431, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 431, 14 is 1.

Therefore, GCD of numbers 192, 431, 14 is 1

Given Input Data is 192, 431, 14

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 431 is 431

Prime Factorization of 14 is 2 x 7

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, 431) = 82752

GCD(192, 431) = ( 192 x 431 ) / 82752

GCD(192, 431) = 82752 / 82752

GCD(192, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 192, 431, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 347, 13
• GCD of 283, 935, 19
• GCD of 146, 461, 42
• GCD of 658, 161, 20
• GCD of 167, 109, 31

1. What is the GCD of 192, 431, 14?

GCD of 192, 431, 14 is 1

2. Where do I get the detailed procedure to find GCD of 192, 431, 14?

You can find a detailed procedure to find GCD of 192, 431, 14 on our page.

3. How to find GCD of 192, 431, 14 on a calculator?

You can find the GCD of 192, 431, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.