GCD of 288, 696, 37, 378 Calculator

Given Input numbers are 288, 696, 37, 378

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 37

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

1, 37

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 288, 696, 37, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 696, 37, 378 is 1.

Therefore, GCD of numbers 288, 696, 37, 378 is 1

Given Input Data is 288, 696, 37, 378

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 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 37 is 37

Prime Factorization of 378 is 2 x 3 x 3 x 3 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(288, 696) = 8352

GCD(288, 696) = ( 288 x 696 ) / 8352

GCD(288, 696) = 200448 / 8352

GCD(288, 696) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 37

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

LCM(24, 37) = 888

GCD(24, 37) = ( 24 x 37 ) / 888

GCD(24, 37) = 888 / 888

GCD(24, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 288, 696, 37, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 929, 11, 566
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• GCD of 927, 400, 38, 891
• GCD of 312, 455, 13, 279
• GCD of 547, 321, 38, 759

1. What is the GCD of 288, 696, 37, 378?

GCD of 288, 696, 37, 378 is 1

2. Where do I get the detailed procedure to find GCD of 288, 696, 37, 378?

You can find a detailed procedure to find GCD of 288, 696, 37, 378 on our page.

3. How to find GCD of 288, 696, 37, 378 on a calculator?

You can find the GCD of 288, 696, 37, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.