GCD of 288, 786, 121, 592 Calculator

Given Input numbers are 288, 786, 121, 592

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 288, 786, 121, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 786, 121, 592 is 1.

Therefore, GCD of numbers 288, 786, 121, 592 is 1

Given Input Data is 288, 786, 121, 592

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 786 is 2 x 3 x 131

Prime Factorization of 121 is 11 x 11

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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, 786) = 37728

GCD(288, 786) = ( 288 x 786 ) / 37728

GCD(288, 786) = 226368 / 37728

GCD(288, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 121

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

LCM(6, 121) = 726

GCD(6, 121) = ( 6 x 121 ) / 726

GCD(6, 121) = 726 / 726

GCD(6, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 288, 786, 121, 592 is 1

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1. What is the GCD of 288, 786, 121, 592?

GCD of 288, 786, 121, 592 is 1

2. Where do I get the detailed procedure to find GCD of 288, 786, 121, 592?

You can find a detailed procedure to find GCD of 288, 786, 121, 592 on our page.

3. How to find GCD of 288, 786, 121, 592 on a calculator?

You can find the GCD of 288, 786, 121, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.