GCD of 288, 796, 360, 588 Calculator

Given Input numbers are 288, 796, 360, 588

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 288, 796, 360, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 796, 360, 588 is 4.

Therefore, GCD of numbers 288, 796, 360, 588 is 4

Given Input Data is 288, 796, 360, 588

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 796 is 2 x 2 x 199

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 796) = 57312

GCD(288, 796) = ( 288 x 796 ) / 57312

GCD(288, 796) = 229248 / 57312

GCD(288, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 360

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

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

GCD(4, 360) = 1440 / 360

GCD(4, 360) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 588

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

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

GCD(4, 588) = 2352 / 588

GCD(4, 588) = 4

GCD of 288, 796, 360, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 181, 289, 803
• GCD of 968, 427, 723, 179
• GCD of 771, 458, 649, 958
• GCD of 487, 841, 204, 763
• GCD of 313, 172, 510, 402

1. What is the GCD of 288, 796, 360, 588?

GCD of 288, 796, 360, 588 is 4

2. Where do I get the detailed procedure to find GCD of 288, 796, 360, 588?

You can find a detailed procedure to find GCD of 288, 796, 360, 588 on our page.

3. How to find GCD of 288, 796, 360, 588 on a calculator?

You can find the GCD of 288, 796, 360, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.