GCD of 512, 596, 996 Calculator

Given Input numbers are 512, 596, 996

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

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 512, 596, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 596, 996 is 4.

Therefore, GCD of numbers 512, 596, 996 is 4

Given Input Data is 512, 596, 996

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

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(512, 596) = 76288

GCD(512, 596) = ( 512 x 596 ) / 76288

GCD(512, 596) = 305152 / 76288

GCD(512, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 996

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

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

GCD(4, 996) = 3984 / 996

GCD(4, 996) = 4

GCD of 512, 596, 996 is 4

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• GCD of 196, 850, 557
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1. What is the GCD of 512, 596, 996?

GCD of 512, 596, 996 is 4

2. Where do I get the detailed procedure to find GCD of 512, 596, 996?

You can find a detailed procedure to find GCD of 512, 596, 996 on our page.

3. How to find GCD of 512, 596, 996 on a calculator?

You can find the GCD of 512, 596, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.