GCD of 992, 286, 83, 488 Calculator

Given Input numbers are 992, 286, 83, 488

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 992, 286, 83, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 286, 83, 488 is 1.

Therefore, GCD of numbers 992, 286, 83, 488 is 1

Given Input Data is 992, 286, 83, 488

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 286 is 2 x 11 x 13

Prime Factorization of 83 is 83

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 286) = 141856

GCD(992, 286) = ( 992 x 286 ) / 141856

GCD(992, 286) = 283712 / 141856

GCD(992, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 992, 286, 83, 488 is 1

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• GCD of 981, 344, 14, 725
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• GCD of 653, 120, 36, 879

1. What is the GCD of 992, 286, 83, 488?

GCD of 992, 286, 83, 488 is 1

2. Where do I get the detailed procedure to find GCD of 992, 286, 83, 488?

You can find a detailed procedure to find GCD of 992, 286, 83, 488 on our page.

3. How to find GCD of 992, 286, 83, 488 on a calculator?

You can find the GCD of 992, 286, 83, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.