GCD of 990, 896, 998, 240 Calculator

Given Input numbers are 990, 896, 998, 240

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 990, 896, 998, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 896, 998, 240 is 2.

Therefore, GCD of numbers 990, 896, 998, 240 is 2

Given Input Data is 990, 896, 998, 240

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(990, 896) = 443520

GCD(990, 896) = ( 990 x 896 ) / 443520

GCD(990, 896) = 887040 / 443520

GCD(990, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 990, 896, 998, 240 is 2

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1. What is the GCD of 990, 896, 998, 240?

GCD of 990, 896, 998, 240 is 2

2. Where do I get the detailed procedure to find GCD of 990, 896, 998, 240?

You can find a detailed procedure to find GCD of 990, 896, 998, 240 on our page.

3. How to find GCD of 990, 896, 998, 240 on a calculator?

You can find the GCD of 990, 896, 998, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.