GCD of 119, 108, 512, 998 Calculator

Given Input numbers are 119, 108, 512, 998

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 119, 108, 512, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 108, 512, 998 is 1.

Therefore, GCD of numbers 119, 108, 512, 998 is 1

Given Input Data is 119, 108, 512, 998

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(119, 108) = 12852

GCD(119, 108) = ( 119 x 108 ) / 12852

GCD(119, 108) = 12852 / 12852

GCD(119, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 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 119, 108, 512, 998 is 1

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1. What is the GCD of 119, 108, 512, 998?

GCD of 119, 108, 512, 998 is 1

2. Where do I get the detailed procedure to find GCD of 119, 108, 512, 998?

You can find a detailed procedure to find GCD of 119, 108, 512, 998 on our page.

3. How to find GCD of 119, 108, 512, 998 on a calculator?

You can find the GCD of 119, 108, 512, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.