GCD of 105, 184, 998, 367 Calculator

Given Input numbers are 105, 184, 998, 367

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 998

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

1, 2, 499, 998

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 105, 184, 998, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 184, 998, 367 is 1.

Therefore, GCD of numbers 105, 184, 998, 367 is 1

Given Input Data is 105, 184, 998, 367

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 998 is 2 x 499

Prime Factorization of 367 is 367

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(105, 184) = 19320

GCD(105, 184) = ( 105 x 184 ) / 19320

GCD(105, 184) = 19320 / 19320

GCD(105, 184) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 105, 184, 998, 367 is 1

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• GCD of 594, 228, 980, 242
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1. What is the GCD of 105, 184, 998, 367?

GCD of 105, 184, 998, 367 is 1

2. Where do I get the detailed procedure to find GCD of 105, 184, 998, 367?

You can find a detailed procedure to find GCD of 105, 184, 998, 367 on our page.

3. How to find GCD of 105, 184, 998, 367 on a calculator?

You can find the GCD of 105, 184, 998, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.