GCD of 225, 643, 60, 288 Calculator

Given Input numbers are 225, 643, 60, 288

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

Greatest Common Divisior

We found the divisors of 225, 643, 60, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 643, 60, 288 is 1.

Therefore, GCD of numbers 225, 643, 60, 288 is 1

Given Input Data is 225, 643, 60, 288

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 643 is 643

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(225, 643) = 144675

GCD(225, 643) = ( 225 x 643 ) / 144675

GCD(225, 643) = 144675 / 144675

GCD(225, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 225, 643, 60, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 349, 66, 192
• GCD of 122, 388, 48, 601
• GCD of 363, 820, 79, 319
• GCD of 170, 886, 56, 230
• GCD of 207, 656, 21, 670

1. What is the GCD of 225, 643, 60, 288?

GCD of 225, 643, 60, 288 is 1

2. Where do I get the detailed procedure to find GCD of 225, 643, 60, 288?

You can find a detailed procedure to find GCD of 225, 643, 60, 288 on our page.

3. How to find GCD of 225, 643, 60, 288 on a calculator?

You can find the GCD of 225, 643, 60, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.