GCD of 238, 409, 76, 389 Calculator

Given Input numbers are 238, 409, 76, 389

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 238, 409, 76, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 409, 76, 389 is 1.

Therefore, GCD of numbers 238, 409, 76, 389 is 1

Given Input Data is 238, 409, 76, 389

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 409 is 409

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 389 is 389

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(238, 409) = 97342

GCD(238, 409) = ( 238 x 409 ) / 97342

GCD(238, 409) = 97342 / 97342

GCD(238, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 238, 409, 76, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 888, 31, 700
• GCD of 178, 234, 18, 342
• GCD of 973, 249, 89, 681
• GCD of 992, 123, 77, 187
• GCD of 169, 667, 43, 945

1. What is the GCD of 238, 409, 76, 389?

GCD of 238, 409, 76, 389 is 1

2. Where do I get the detailed procedure to find GCD of 238, 409, 76, 389?

You can find a detailed procedure to find GCD of 238, 409, 76, 389 on our page.

3. How to find GCD of 238, 409, 76, 389 on a calculator?

You can find the GCD of 238, 409, 76, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.