GCD of 119, 228, 42, 367 Calculator

Given Input numbers are 119, 228, 42, 367

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 119, 228, 42, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 228, 42, 367 is 1.

Therefore, GCD of numbers 119, 228, 42, 367 is 1

Given Input Data is 119, 228, 42, 367

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 42 is 2 x 3 x 7

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(119, 228) = 27132

GCD(119, 228) = ( 119 x 228 ) / 27132

GCD(119, 228) = 27132 / 27132

GCD(119, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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 119, 228, 42, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 288, 62, 625
• GCD of 237, 476, 50, 255
• GCD of 720, 102, 99, 294
• GCD of 689, 569, 82, 843
• GCD of 429, 206, 22, 890

1. What is the GCD of 119, 228, 42, 367?

GCD of 119, 228, 42, 367 is 1

2. Where do I get the detailed procedure to find GCD of 119, 228, 42, 367?

You can find a detailed procedure to find GCD of 119, 228, 42, 367 on our page.

3. How to find GCD of 119, 228, 42, 367 on a calculator?

You can find the GCD of 119, 228, 42, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.