GCD of 305, 116, 32, 231 Calculator

Given Input numbers are 305, 116, 32, 231

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 231

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

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

Greatest Common Divisior

We found the divisors of 305, 116, 32, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 116, 32, 231 is 1.

Therefore, GCD of numbers 305, 116, 32, 231 is 1

Given Input Data is 305, 116, 32, 231

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 231 is 3 x 7 x 11

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(305, 116) = 35380

GCD(305, 116) = ( 305 x 116 ) / 35380

GCD(305, 116) = 35380 / 35380

GCD(305, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 305, 116, 32, 231 is 1

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1. What is the GCD of 305, 116, 32, 231?

GCD of 305, 116, 32, 231 is 1

2. Where do I get the detailed procedure to find GCD of 305, 116, 32, 231?

You can find a detailed procedure to find GCD of 305, 116, 32, 231 on our page.

3. How to find GCD of 305, 116, 32, 231 on a calculator?

You can find the GCD of 305, 116, 32, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.