GCD of 31, 111, 229, 944 Calculator

Given Input numbers are 31, 111, 229, 944

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

Divisors of 31

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

1, 31

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 31, 111, 229, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 111, 229, 944 is 1.

Therefore, GCD of numbers 31, 111, 229, 944 is 1

Given Input Data is 31, 111, 229, 944

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

Prime Factorization of 31 is 31

Prime Factorization of 111 is 3 x 37

Prime Factorization of 229 is 229

Prime Factorization of 944 is 2 x 2 x 2 x 2 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(31, 111) = 3441

GCD(31, 111) = ( 31 x 111 ) / 3441

GCD(31, 111) = 3441 / 3441

GCD(31, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 31, 111, 229, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 318, 170, 119
• GCD of 25, 441, 857, 679
• GCD of 37, 636, 205, 244
• GCD of 77, 187, 335, 274
• GCD of 34, 878, 738, 228

1. What is the GCD of 31, 111, 229, 944?

GCD of 31, 111, 229, 944 is 1

2. Where do I get the detailed procedure to find GCD of 31, 111, 229, 944?

You can find a detailed procedure to find GCD of 31, 111, 229, 944 on our page.

3. How to find GCD of 31, 111, 229, 944 on a calculator?

You can find the GCD of 31, 111, 229, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.