GCD of 111, 248, 990, 998 Calculator

Given Input numbers are 111, 248, 990, 998

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 111, 248, 990, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 248, 990, 998 is 1.

Therefore, GCD of numbers 111, 248, 990, 998 is 1

Given Input Data is 111, 248, 990, 998

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

Prime Factorization of 998 is 2 x 499

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(111, 248) = 27528

GCD(111, 248) = ( 111 x 248 ) / 27528

GCD(111, 248) = 27528 / 27528

GCD(111, 248) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 111, 248, 990, 998 is 1

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1. What is the GCD of 111, 248, 990, 998?

GCD of 111, 248, 990, 998 is 1

2. Where do I get the detailed procedure to find GCD of 111, 248, 990, 998?

You can find a detailed procedure to find GCD of 111, 248, 990, 998 on our page.

3. How to find GCD of 111, 248, 990, 998 on a calculator?

You can find the GCD of 111, 248, 990, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.