GCD of 996, 424, 825 Calculator

Given Input numbers are 996, 424, 825

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

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 996, 424, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 424, 825 is 1.

Therefore, GCD of numbers 996, 424, 825 is 1

Given Input Data is 996, 424, 825

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

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(996, 424) = 105576

GCD(996, 424) = ( 996 x 424 ) / 105576

GCD(996, 424) = 422304 / 105576

GCD(996, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

GCD of 996, 424, 825 is 1

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• GCD of 526, 826, 527
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1. What is the GCD of 996, 424, 825?

GCD of 996, 424, 825 is 1

2. Where do I get the detailed procedure to find GCD of 996, 424, 825?

You can find a detailed procedure to find GCD of 996, 424, 825 on our page.

3. How to find GCD of 996, 424, 825 on a calculator?

You can find the GCD of 996, 424, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.