GCD of 298, 988, 99, 885 Calculator

Given Input numbers are 298, 988, 99, 885

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Greatest Common Divisior

We found the divisors of 298, 988, 99, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 988, 99, 885 is 1.

Therefore, GCD of numbers 298, 988, 99, 885 is 1

Given Input Data is 298, 988, 99, 885

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 885 is 3 x 5 x 59

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(298, 988) = 147212

GCD(298, 988) = ( 298 x 988 ) / 147212

GCD(298, 988) = 294424 / 147212

GCD(298, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 885

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

LCM(1, 885) = 885

GCD(1, 885) = ( 1 x 885 ) / 885

GCD(1, 885) = 885 / 885

GCD(1, 885) = 1

GCD of 298, 988, 99, 885 is 1

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1. What is the GCD of 298, 988, 99, 885?

GCD of 298, 988, 99, 885 is 1

2. Where do I get the detailed procedure to find GCD of 298, 988, 99, 885?

You can find a detailed procedure to find GCD of 298, 988, 99, 885 on our page.

3. How to find GCD of 298, 988, 99, 885 on a calculator?

You can find the GCD of 298, 988, 99, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.