GCD of 24, 130, 303, 112 Calculator

Given Input numbers are 24, 130, 303, 112

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

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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

Greatest Common Divisior

We found the divisors of 24, 130, 303, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 130, 303, 112 is 1.

Therefore, GCD of numbers 24, 130, 303, 112 is 1

Given Input Data is 24, 130, 303, 112

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

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 303 is 3 x 101

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

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(24, 130) = 1560

GCD(24, 130) = ( 24 x 130 ) / 1560

GCD(24, 130) = 3120 / 1560

GCD(24, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 24, 130, 303, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 106, 289, 299
• GCD of 89, 286, 445, 360
• GCD of 21, 272, 110, 121
• GCD of 46, 396, 649, 629
• GCD of 20, 426, 666, 647

1. What is the GCD of 24, 130, 303, 112?

GCD of 24, 130, 303, 112 is 1

2. Where do I get the detailed procedure to find GCD of 24, 130, 303, 112?

You can find a detailed procedure to find GCD of 24, 130, 303, 112 on our page.

3. How to find GCD of 24, 130, 303, 112 on a calculator?

You can find the GCD of 24, 130, 303, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.