GCD of 499, 180, 992 Calculator

Given Input numbers are 499, 180, 992

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

Greatest Common Divisior

We found the divisors of 499, 180, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 180, 992 is 1.

Therefore, GCD of numbers 499, 180, 992 is 1

Given Input Data is 499, 180, 992

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

Prime Factorization of 499 is 499

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

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(499, 180) = 89820

GCD(499, 180) = ( 499 x 180 ) / 89820

GCD(499, 180) = 89820 / 89820

GCD(499, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 499, 180, 992 is 1

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• GCD of 593, 249, 679
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1. What is the GCD of 499, 180, 992?

GCD of 499, 180, 992 is 1

2. Where do I get the detailed procedure to find GCD of 499, 180, 992?

You can find a detailed procedure to find GCD of 499, 180, 992 on our page.

3. How to find GCD of 499, 180, 992 on a calculator?

You can find the GCD of 499, 180, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.