GCD of 288, 297, 74, 604 Calculator

Given Input numbers are 288, 297, 74, 604

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 288, 297, 74, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 297, 74, 604 is 1.

Therefore, GCD of numbers 288, 297, 74, 604 is 1

Given Input Data is 288, 297, 74, 604

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 604 is 2 x 2 x 151

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, 297) = 9504

GCD(288, 297) = ( 288 x 297 ) / 9504

GCD(288, 297) = 85536 / 9504

GCD(288, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 74

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

LCM(9, 74) = 666

GCD(9, 74) = ( 9 x 74 ) / 666

GCD(9, 74) = 666 / 666

GCD(9, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 288, 297, 74, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 598, 21, 229
• GCD of 324, 321, 93, 225
• GCD of 371, 105, 11, 797
• GCD of 285, 903, 70, 618
• GCD of 479, 958, 48, 551

1. What is the GCD of 288, 297, 74, 604?

GCD of 288, 297, 74, 604 is 1

2. Where do I get the detailed procedure to find GCD of 288, 297, 74, 604?

You can find a detailed procedure to find GCD of 288, 297, 74, 604 on our page.

3. How to find GCD of 288, 297, 74, 604 on a calculator?

You can find the GCD of 288, 297, 74, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.