GCD of 194, 935, 18, 144 Calculator

Given Input numbers are 194, 935, 18, 144

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 194, 935, 18, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 935, 18, 144 is 1.

Therefore, GCD of numbers 194, 935, 18, 144 is 1

Given Input Data is 194, 935, 18, 144

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 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(194, 935) = 181390

GCD(194, 935) = ( 194 x 935 ) / 181390

GCD(194, 935) = 181390 / 181390

GCD(194, 935) = 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 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 194, 935, 18, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 999, 91, 830
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• GCD of 119, 978, 76, 480

1. What is the GCD of 194, 935, 18, 144?

GCD of 194, 935, 18, 144 is 1

2. Where do I get the detailed procedure to find GCD of 194, 935, 18, 144?

You can find a detailed procedure to find GCD of 194, 935, 18, 144 on our page.

3. How to find GCD of 194, 935, 18, 144 on a calculator?

You can find the GCD of 194, 935, 18, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.