GCD of 288, 498, 23, 540 Calculator

Given Input numbers are 288, 498, 23, 540

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 288, 498, 23, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 498, 23, 540 is 1.

Therefore, GCD of numbers 288, 498, 23, 540 is 1

Given Input Data is 288, 498, 23, 540

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 498 is 2 x 3 x 83

Prime Factorization of 23 is 23

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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, 498) = 23904

GCD(288, 498) = ( 288 x 498 ) / 23904

GCD(288, 498) = 143424 / 23904

GCD(288, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 23

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

LCM(6, 23) = 138

GCD(6, 23) = ( 6 x 23 ) / 138

GCD(6, 23) = 138 / 138

GCD(6, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 288, 498, 23, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 342, 61, 258
• GCD of 581, 169, 91, 405
• GCD of 198, 765, 85, 987
• GCD of 329, 135, 38, 989
• GCD of 668, 997, 27, 148

1. What is the GCD of 288, 498, 23, 540?

GCD of 288, 498, 23, 540 is 1

2. Where do I get the detailed procedure to find GCD of 288, 498, 23, 540?

You can find a detailed procedure to find GCD of 288, 498, 23, 540 on our page.

3. How to find GCD of 288, 498, 23, 540 on a calculator?

You can find the GCD of 288, 498, 23, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.