GCD of 305, 112, 229 Calculator

Given Input numbers are 305, 112, 229

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 229

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

1, 229

Greatest Common Divisior

We found the divisors of 305, 112, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 112, 229 is 1.

Therefore, GCD of numbers 305, 112, 229 is 1

Given Input Data is 305, 112, 229

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 229 is 229

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, 112) = 34160

GCD(305, 112) = ( 305 x 112 ) / 34160

GCD(305, 112) = 34160 / 34160

GCD(305, 112) = 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

GCD of 305, 112, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 916, 784
• GCD of 581, 932, 348
• GCD of 506, 179, 484
• GCD of 846, 647, 771
• GCD of 622, 346, 306

1. What is the GCD of 305, 112, 229?

GCD of 305, 112, 229 is 1

2. Where do I get the detailed procedure to find GCD of 305, 112, 229?

You can find a detailed procedure to find GCD of 305, 112, 229 on our page.

3. How to find GCD of 305, 112, 229 on a calculator?

You can find the GCD of 305, 112, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.