GCD of 300, 740, 324, 225 Calculator

Given Input numbers are 300, 740, 324, 225

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

Greatest Common Divisior

We found the divisors of 300, 740, 324, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 740, 324, 225 is 1.

Therefore, GCD of numbers 300, 740, 324, 225 is 1

Given Input Data is 300, 740, 324, 225

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 225 is 3 x 3 x 5 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(300, 740) = 11100

GCD(300, 740) = ( 300 x 740 ) / 11100

GCD(300, 740) = 222000 / 11100

GCD(300, 740) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 324

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

LCM(20, 324) = 1620

GCD(20, 324) = ( 20 x 324 ) / 1620

GCD(20, 324) = 6480 / 1620

GCD(20, 324) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 225

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

LCM(4, 225) = 900

GCD(4, 225) = ( 4 x 225 ) / 900

GCD(4, 225) = 900 / 900

GCD(4, 225) = 1

GCD of 300, 740, 324, 225 is 1

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1. What is the GCD of 300, 740, 324, 225?

GCD of 300, 740, 324, 225 is 1

2. Where do I get the detailed procedure to find GCD of 300, 740, 324, 225?

You can find a detailed procedure to find GCD of 300, 740, 324, 225 on our page.

3. How to find GCD of 300, 740, 324, 225 on a calculator?

You can find the GCD of 300, 740, 324, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.