GCD of 288, 748, 936, 389 Calculator

Given Input numbers are 288, 748, 936, 389

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 288, 748, 936, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 748, 936, 389 is 1.

Therefore, GCD of numbers 288, 748, 936, 389 is 1

Given Input Data is 288, 748, 936, 389

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 389 is 389

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, 748) = 53856

GCD(288, 748) = ( 288 x 748 ) / 53856

GCD(288, 748) = 215424 / 53856

GCD(288, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 936

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

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

GCD(4, 936) = 3744 / 936

GCD(4, 936) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 389

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

LCM(4, 389) = 1556

GCD(4, 389) = ( 4 x 389 ) / 1556

GCD(4, 389) = 1556 / 1556

GCD(4, 389) = 1

GCD of 288, 748, 936, 389 is 1

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1. What is the GCD of 288, 748, 936, 389?

GCD of 288, 748, 936, 389 is 1

2. Where do I get the detailed procedure to find GCD of 288, 748, 936, 389?

You can find a detailed procedure to find GCD of 288, 748, 936, 389 on our page.

3. How to find GCD of 288, 748, 936, 389 on a calculator?

You can find the GCD of 288, 748, 936, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.