GCD of 119, 285, 18, 108 Calculator

Given Input numbers are 119, 285, 18, 108

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 119, 285, 18, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 285, 18, 108 is 1.

Therefore, GCD of numbers 119, 285, 18, 108 is 1

Given Input Data is 119, 285, 18, 108

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 18 is 2 x 3 x 3

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(119, 285) = 33915

GCD(119, 285) = ( 119 x 285 ) / 33915

GCD(119, 285) = 33915 / 33915

GCD(119, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

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 119, 285, 18, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 953, 52, 748
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• GCD of 479, 777, 27, 545

1. What is the GCD of 119, 285, 18, 108?

GCD of 119, 285, 18, 108 is 1

2. Where do I get the detailed procedure to find GCD of 119, 285, 18, 108?

You can find a detailed procedure to find GCD of 119, 285, 18, 108 on our page.

3. How to find GCD of 119, 285, 18, 108 on a calculator?

You can find the GCD of 119, 285, 18, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.