GCD of 144, 995, 24, 318 Calculator

Given Input numbers are 144, 995, 24, 318

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 144, 995, 24, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 995, 24, 318 is 1.

Therefore, GCD of numbers 144, 995, 24, 318 is 1

Given Input Data is 144, 995, 24, 318

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 995 is 5 x 199

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

Prime Factorization of 318 is 2 x 3 x 53

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(144, 995) = 143280

GCD(144, 995) = ( 144 x 995 ) / 143280

GCD(144, 995) = 143280 / 143280

GCD(144, 995) = 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 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 144, 995, 24, 318 is 1

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1. What is the GCD of 144, 995, 24, 318?

GCD of 144, 995, 24, 318 is 1

2. Where do I get the detailed procedure to find GCD of 144, 995, 24, 318?

You can find a detailed procedure to find GCD of 144, 995, 24, 318 on our page.

3. How to find GCD of 144, 995, 24, 318 on a calculator?

You can find the GCD of 144, 995, 24, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.