GCD of 288, 876, 325, 645 Calculator

Given Input numbers are 288, 876, 325, 645

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 288, 876, 325, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 876, 325, 645 is 1.

Therefore, GCD of numbers 288, 876, 325, 645 is 1

Given Input Data is 288, 876, 325, 645

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 645 is 3 x 5 x 43

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, 876) = 21024

GCD(288, 876) = ( 288 x 876 ) / 21024

GCD(288, 876) = 252288 / 21024

GCD(288, 876) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 325

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

LCM(12, 325) = 3900

GCD(12, 325) = ( 12 x 325 ) / 3900

GCD(12, 325) = 3900 / 3900

GCD(12, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 288, 876, 325, 645 is 1

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1. What is the GCD of 288, 876, 325, 645?

GCD of 288, 876, 325, 645 is 1

2. Where do I get the detailed procedure to find GCD of 288, 876, 325, 645?

You can find a detailed procedure to find GCD of 288, 876, 325, 645 on our page.

3. How to find GCD of 288, 876, 325, 645 on a calculator?

You can find the GCD of 288, 876, 325, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.