GCD of 288, 168, 39, 837 Calculator

Given Input numbers are 288, 168, 39, 837

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 288, 168, 39, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 168, 39, 837 is 3.

Therefore, GCD of numbers 288, 168, 39, 837 is 3

Given Input Data is 288, 168, 39, 837

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 837 is 3 x 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 168) = 2016

GCD(288, 168) = ( 288 x 168 ) / 2016

GCD(288, 168) = 48384 / 2016

GCD(288, 168) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 39

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

LCM(24, 39) = 312

GCD(24, 39) = ( 24 x 39 ) / 312

GCD(24, 39) = 936 / 312

GCD(24, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 837

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

LCM(3, 837) = 837

GCD(3, 837) = ( 3 x 837 ) / 837

GCD(3, 837) = 2511 / 837

GCD(3, 837) = 3

GCD of 288, 168, 39, 837 is 3

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1. What is the GCD of 288, 168, 39, 837?

GCD of 288, 168, 39, 837 is 3

2. Where do I get the detailed procedure to find GCD of 288, 168, 39, 837?

You can find a detailed procedure to find GCD of 288, 168, 39, 837 on our page.

3. How to find GCD of 288, 168, 39, 837 on a calculator?

You can find the GCD of 288, 168, 39, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.