GCD of 304, 231, 31, 104 Calculator

Given Input numbers are 304, 231, 31, 104

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 304, 231, 31, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 231, 31, 104 is 1.

Therefore, GCD of numbers 304, 231, 31, 104 is 1

Given Input Data is 304, 231, 31, 104

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 31 is 31

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(304, 231) = 70224

GCD(304, 231) = ( 304 x 231 ) / 70224

GCD(304, 231) = 70224 / 70224

GCD(304, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 304, 231, 31, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 697, 11, 634
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• GCD of 573, 183, 73, 744
• GCD of 640, 621, 62, 932
• GCD of 373, 668, 80, 758

1. What is the GCD of 304, 231, 31, 104?

GCD of 304, 231, 31, 104 is 1

2. Where do I get the detailed procedure to find GCD of 304, 231, 31, 104?

You can find a detailed procedure to find GCD of 304, 231, 31, 104 on our page.

3. How to find GCD of 304, 231, 31, 104 on a calculator?

You can find the GCD of 304, 231, 31, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.