GCD of 225, 438, 24, 722 Calculator

Given Input numbers are 225, 438, 24, 722

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 225, 438, 24, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 438, 24, 722 is 1.

Therefore, GCD of numbers 225, 438, 24, 722 is 1

Given Input Data is 225, 438, 24, 722

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 438 is 2 x 3 x 73

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 722 is 2 x 19 x 19

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, 438) = 32850

GCD(225, 438) = ( 225 x 438 ) / 32850

GCD(225, 438) = 98550 / 32850

GCD(225, 438) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

GCD of 225, 438, 24, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 830, 99, 354
• GCD of 325, 623, 95, 937
• GCD of 720, 664, 84, 145
• GCD of 906, 912, 19, 467
• GCD of 530, 370, 28, 947

1. What is the GCD of 225, 438, 24, 722?

GCD of 225, 438, 24, 722 is 1

2. Where do I get the detailed procedure to find GCD of 225, 438, 24, 722?

You can find a detailed procedure to find GCD of 225, 438, 24, 722 on our page.

3. How to find GCD of 225, 438, 24, 722 on a calculator?

You can find the GCD of 225, 438, 24, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.