GCD of 288, 849, 37, 310 Calculator

Given Input numbers are 288, 849, 37, 310

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 288, 849, 37, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 849, 37, 310 is 1.

Therefore, GCD of numbers 288, 849, 37, 310 is 1

Given Input Data is 288, 849, 37, 310

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 849 is 3 x 283

Prime Factorization of 37 is 37

Prime Factorization of 310 is 2 x 5 x 31

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(288, 849) = 81504

GCD(288, 849) = ( 288 x 849 ) / 81504

GCD(288, 849) = 244512 / 81504

GCD(288, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 288, 849, 37, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 109, 84, 766
• GCD of 825, 147, 12, 113
• GCD of 914, 331, 48, 868
• GCD of 612, 757, 90, 155
• GCD of 345, 936, 39, 485

1. What is the GCD of 288, 849, 37, 310?

GCD of 288, 849, 37, 310 is 1

2. Where do I get the detailed procedure to find GCD of 288, 849, 37, 310?

You can find a detailed procedure to find GCD of 288, 849, 37, 310 on our page.

3. How to find GCD of 288, 849, 37, 310 on a calculator?

You can find the GCD of 288, 849, 37, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.