GCD of 984, 488, 24, 249 Calculator

Given Input numbers are 984, 488, 24, 249

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 984, 488, 24, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 488, 24, 249 is 1.

Therefore, GCD of numbers 984, 488, 24, 249 is 1

Given Input Data is 984, 488, 24, 249

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Prime Factorization of 249 is 3 x 83

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(984, 488) = 60024

GCD(984, 488) = ( 984 x 488 ) / 60024

GCD(984, 488) = 480192 / 60024

GCD(984, 488) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 24

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

LCM(8, 24) = 24

GCD(8, 24) = ( 8 x 24 ) / 24

GCD(8, 24) = 192 / 24

GCD(8, 24) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 249

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

LCM(8, 249) = 1992

GCD(8, 249) = ( 8 x 249 ) / 1992

GCD(8, 249) = 1992 / 1992

GCD(8, 249) = 1

GCD of 984, 488, 24, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 850, 30, 256
• GCD of 871, 750, 54, 331
• GCD of 762, 142, 89, 509
• GCD of 969, 184, 39, 758
• GCD of 824, 898, 45, 135

1. What is the GCD of 984, 488, 24, 249?

GCD of 984, 488, 24, 249 is 1

2. Where do I get the detailed procedure to find GCD of 984, 488, 24, 249?

You can find a detailed procedure to find GCD of 984, 488, 24, 249 on our page.

3. How to find GCD of 984, 488, 24, 249 on a calculator?

You can find the GCD of 984, 488, 24, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.