GCD of 288, 604, 525, 210 Calculator

Given Input numbers are 288, 604, 525, 210

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 604

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

1, 2, 4, 151, 302, 604

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 288, 604, 525, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 604, 525, 210 is 1.

Therefore, GCD of numbers 288, 604, 525, 210 is 1

Given Input Data is 288, 604, 525, 210

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 604 is 2 x 2 x 151

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

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, 604) = 43488

GCD(288, 604) = ( 288 x 604 ) / 43488

GCD(288, 604) = 173952 / 43488

GCD(288, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 525

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

LCM(4, 525) = 2100

GCD(4, 525) = ( 4 x 525 ) / 2100

GCD(4, 525) = 2100 / 2100

GCD(4, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 288, 604, 525, 210 is 1

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• GCD of 236, 350, 688, 713
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1. What is the GCD of 288, 604, 525, 210?

GCD of 288, 604, 525, 210 is 1

2. Where do I get the detailed procedure to find GCD of 288, 604, 525, 210?

You can find a detailed procedure to find GCD of 288, 604, 525, 210 on our page.

3. How to find GCD of 288, 604, 525, 210 on a calculator?

You can find the GCD of 288, 604, 525, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.