GCD of 361, 994, 108 Calculator

Given Input numbers are 361, 994, 108

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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

Greatest Common Divisior

We found the divisors of 361, 994, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 994, 108 is 1.

Therefore, GCD of numbers 361, 994, 108 is 1

Given Input Data is 361, 994, 108

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 994 is 2 x 7 x 71

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

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(361, 994) = 358834

GCD(361, 994) = ( 361 x 994 ) / 358834

GCD(361, 994) = 358834 / 358834

GCD(361, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 361, 994, 108 is 1

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1. What is the GCD of 361, 994, 108?

GCD of 361, 994, 108 is 1

2. Where do I get the detailed procedure to find GCD of 361, 994, 108?

You can find a detailed procedure to find GCD of 361, 994, 108 on our page.

3. How to find GCD of 361, 994, 108 on a calculator?

You can find the GCD of 361, 994, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.