GCD of 992, 472, 239, 512 Calculator

Given Input numbers are 992, 472, 239, 512

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 992, 472, 239, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 472, 239, 512 is 1.

Therefore, GCD of numbers 992, 472, 239, 512 is 1

Given Input Data is 992, 472, 239, 512

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 239 is 239

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 472) = 58528

GCD(992, 472) = ( 992 x 472 ) / 58528

GCD(992, 472) = 468224 / 58528

GCD(992, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 239

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

LCM(8, 239) = 1912

GCD(8, 239) = ( 8 x 239 ) / 1912

GCD(8, 239) = 1912 / 1912

GCD(8, 239) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 992, 472, 239, 512 is 1

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1. What is the GCD of 992, 472, 239, 512?

GCD of 992, 472, 239, 512 is 1

2. Where do I get the detailed procedure to find GCD of 992, 472, 239, 512?

You can find a detailed procedure to find GCD of 992, 472, 239, 512 on our page.

3. How to find GCD of 992, 472, 239, 512 on a calculator?

You can find the GCD of 992, 472, 239, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.