GCD of 116, 283, 24, 474 Calculator

Given Input numbers are 116, 283, 24, 474

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 116, 283, 24, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 283, 24, 474 is 1.

Therefore, GCD of numbers 116, 283, 24, 474 is 1

Given Input Data is 116, 283, 24, 474

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 283 is 283

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 474 is 2 x 3 x 79

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(116, 283) = 32828

GCD(116, 283) = ( 116 x 283 ) / 32828

GCD(116, 283) = 32828 / 32828

GCD(116, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 116, 283, 24, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 878, 10, 995
• GCD of 270, 846, 12, 405
• GCD of 564, 827, 11, 561
• GCD of 712, 433, 19, 797
• GCD of 196, 218, 92, 844

1. What is the GCD of 116, 283, 24, 474?

GCD of 116, 283, 24, 474 is 1

2. Where do I get the detailed procedure to find GCD of 116, 283, 24, 474?

You can find a detailed procedure to find GCD of 116, 283, 24, 474 on our page.

3. How to find GCD of 116, 283, 24, 474 on a calculator?

You can find the GCD of 116, 283, 24, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.