GCD of 996, 874, 20, 224 Calculator

Given Input numbers are 996, 874, 20, 224

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 996, 874, 20, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 874, 20, 224 is 2.

Therefore, GCD of numbers 996, 874, 20, 224 is 2

Given Input Data is 996, 874, 20, 224

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 874 is 2 x 19 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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, 874) = 435252

GCD(996, 874) = ( 996 x 874 ) / 435252

GCD(996, 874) = 870504 / 435252

GCD(996, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 996, 874, 20, 224 is 2

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1. What is the GCD of 996, 874, 20, 224?

GCD of 996, 874, 20, 224 is 2

2. Where do I get the detailed procedure to find GCD of 996, 874, 20, 224?

You can find a detailed procedure to find GCD of 996, 874, 20, 224 on our page.

3. How to find GCD of 996, 874, 20, 224 on a calculator?

You can find the GCD of 996, 874, 20, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.