GCD of 489, 992, 96, 313 Calculator

Given Input numbers are 489, 992, 96, 313

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 489, 992, 96, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 992, 96, 313 is 1.

Therefore, GCD of numbers 489, 992, 96, 313 is 1

Given Input Data is 489, 992, 96, 313

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

Prime Factorization of 489 is 3 x 163

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 313 is 313

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(489, 992) = 485088

GCD(489, 992) = ( 489 x 992 ) / 485088

GCD(489, 992) = 485088 / 485088

GCD(489, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 489, 992, 96, 313 is 1

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• GCD of 810, 764, 15, 448
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1. What is the GCD of 489, 992, 96, 313?

GCD of 489, 992, 96, 313 is 1

2. Where do I get the detailed procedure to find GCD of 489, 992, 96, 313?

You can find a detailed procedure to find GCD of 489, 992, 96, 313 on our page.

3. How to find GCD of 489, 992, 96, 313 on a calculator?

You can find the GCD of 489, 992, 96, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.