GCD of 996, 716, 18, 100 Calculator

Given Input numbers are 996, 716, 18, 100

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 996, 716, 18, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 716, 18, 100 is 2.

Therefore, GCD of numbers 996, 716, 18, 100 is 2

Given Input Data is 996, 716, 18, 100

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 716 is 2 x 2 x 179

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 100 is 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 716) = 178284

GCD(996, 716) = ( 996 x 716 ) / 178284

GCD(996, 716) = 713136 / 178284

GCD(996, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 996, 716, 18, 100 is 2

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• GCD of 774, 663, 76, 826
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1. What is the GCD of 996, 716, 18, 100?

GCD of 996, 716, 18, 100 is 2

2. Where do I get the detailed procedure to find GCD of 996, 716, 18, 100?

You can find a detailed procedure to find GCD of 996, 716, 18, 100 on our page.

3. How to find GCD of 996, 716, 18, 100 on a calculator?

You can find the GCD of 996, 716, 18, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.