GCD of 23, 381, 296, 301 Calculator

Given Input numbers are 23, 381, 296, 301

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 23, 381, 296, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 381, 296, 301 is 1.

Therefore, GCD of numbers 23, 381, 296, 301 is 1

Given Input Data is 23, 381, 296, 301

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

Prime Factorization of 23 is 23

Prime Factorization of 381 is 3 x 127

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 301 is 7 x 43

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(23, 381) = 8763

GCD(23, 381) = ( 23 x 381 ) / 8763

GCD(23, 381) = 8763 / 8763

GCD(23, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 23, 381, 296, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 276, 198, 175
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• GCD of 38, 350, 429, 560

1. What is the GCD of 23, 381, 296, 301?

GCD of 23, 381, 296, 301 is 1

2. Where do I get the detailed procedure to find GCD of 23, 381, 296, 301?

You can find a detailed procedure to find GCD of 23, 381, 296, 301 on our page.

3. How to find GCD of 23, 381, 296, 301 on a calculator?

You can find the GCD of 23, 381, 296, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.