GCD of 738, 578, 225 Calculator

Given Input numbers are 738, 578, 225

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 738, 578, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 578, 225 is 1.

Therefore, GCD of numbers 738, 578, 225 is 1

Given Input Data is 738, 578, 225

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 578 is 2 x 17 x 17

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(738, 578) = 213282

GCD(738, 578) = ( 738 x 578 ) / 213282

GCD(738, 578) = 426564 / 213282

GCD(738, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 738, 578, 225 is 1

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1. What is the GCD of 738, 578, 225?

GCD of 738, 578, 225 is 1

2. Where do I get the detailed procedure to find GCD of 738, 578, 225?

You can find a detailed procedure to find GCD of 738, 578, 225 on our page.

3. How to find GCD of 738, 578, 225 on a calculator?

You can find the GCD of 738, 578, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.