GCD of 992, 790, 831 Calculator

Given Input numbers are 992, 790, 831

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 992, 790, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 790, 831 is 1.

Therefore, GCD of numbers 992, 790, 831 is 1

Given Input Data is 992, 790, 831

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 831 is 3 x 277

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(992, 790) = 391840

GCD(992, 790) = ( 992 x 790 ) / 391840

GCD(992, 790) = 783680 / 391840

GCD(992, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

GCD of 992, 790, 831 is 1

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1. What is the GCD of 992, 790, 831?

GCD of 992, 790, 831 is 1

2. Where do I get the detailed procedure to find GCD of 992, 790, 831?

You can find a detailed procedure to find GCD of 992, 790, 831 on our page.

3. How to find GCD of 992, 790, 831 on a calculator?

You can find the GCD of 992, 790, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.