GCD of 300, 381, 931, 194 Calculator

Given Input numbers are 300, 381, 931, 194

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 381

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

1, 3, 127, 381

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 194

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

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 300, 381, 931, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 381, 931, 194 is 1.

Therefore, GCD of numbers 300, 381, 931, 194 is 1

Given Input Data is 300, 381, 931, 194

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 381 is 3 x 127

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 194 is 2 x 97

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(300, 381) = 38100

GCD(300, 381) = ( 300 x 381 ) / 38100

GCD(300, 381) = 114300 / 38100

GCD(300, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 931

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

LCM(3, 931) = 2793

GCD(3, 931) = ( 3 x 931 ) / 2793

GCD(3, 931) = 2793 / 2793

GCD(3, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 300, 381, 931, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 415, 383, 313
• GCD of 217, 396, 442, 165
• GCD of 832, 901, 305, 170
• GCD of 406, 256, 942, 541
• GCD of 499, 601, 964, 941

1. What is the GCD of 300, 381, 931, 194?

GCD of 300, 381, 931, 194 is 1

2. Where do I get the detailed procedure to find GCD of 300, 381, 931, 194?

You can find a detailed procedure to find GCD of 300, 381, 931, 194 on our page.

3. How to find GCD of 300, 381, 931, 194 on a calculator?

You can find the GCD of 300, 381, 931, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.