GCD of 114, 383, 31, 295 Calculator

Given Input numbers are 114, 383, 31, 295

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 31

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

1, 31

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 114, 383, 31, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 383, 31, 295 is 1.

Therefore, GCD of numbers 114, 383, 31, 295 is 1

Given Input Data is 114, 383, 31, 295

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 383 is 383

Prime Factorization of 31 is 31

Prime Factorization of 295 is 5 x 59

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(114, 383) = 43662

GCD(114, 383) = ( 114 x 383 ) / 43662

GCD(114, 383) = 43662 / 43662

GCD(114, 383) = 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 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 114, 383, 31, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 617, 25, 173
• GCD of 383, 439, 49, 459
• GCD of 783, 429, 57, 339
• GCD of 246, 440, 93, 598
• GCD of 803, 355, 84, 267

1. What is the GCD of 114, 383, 31, 295?

GCD of 114, 383, 31, 295 is 1

2. Where do I get the detailed procedure to find GCD of 114, 383, 31, 295?

You can find a detailed procedure to find GCD of 114, 383, 31, 295 on our page.

3. How to find GCD of 114, 383, 31, 295 on a calculator?

You can find the GCD of 114, 383, 31, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.