GCD of 119, 323, 358, 133 Calculator

Given Input numbers are 119, 323, 358, 133

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 119, 323, 358, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 323, 358, 133 is 1.

Therefore, GCD of numbers 119, 323, 358, 133 is 1

Given Input Data is 119, 323, 358, 133

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 323 is 17 x 19

Prime Factorization of 358 is 2 x 179

Prime Factorization of 133 is 7 x 19

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, 323) = 2261

GCD(119, 323) = ( 119 x 323 ) / 2261

GCD(119, 323) = 38437 / 2261

GCD(119, 323) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 358

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

LCM(17, 358) = 6086

GCD(17, 358) = ( 17 x 358 ) / 6086

GCD(17, 358) = 6086 / 6086

GCD(17, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 119, 323, 358, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 183, 492, 166
• GCD of 554, 382, 984, 346
• GCD of 530, 227, 311, 989
• GCD of 111, 727, 914, 420
• GCD of 224, 103, 484, 162

1. What is the GCD of 119, 323, 358, 133?

GCD of 119, 323, 358, 133 is 1

2. Where do I get the detailed procedure to find GCD of 119, 323, 358, 133?

You can find a detailed procedure to find GCD of 119, 323, 358, 133 on our page.

3. How to find GCD of 119, 323, 358, 133 on a calculator?

You can find the GCD of 119, 323, 358, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.