GCD of 225, 438, 219, 783 Calculator

Given Input numbers are 225, 438, 219, 783

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 225, 438, 219, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 438, 219, 783 is 3.

Therefore, GCD of numbers 225, 438, 219, 783 is 3

Given Input Data is 225, 438, 219, 783

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 219 is 3 x 73

Prime Factorization of 783 is 3 x 3 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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 219

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

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

GCD(3, 219) = 657 / 219

GCD(3, 219) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 783

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

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

GCD(3, 783) = 2349 / 783

GCD(3, 783) = 3

GCD of 225, 438, 219, 783 is 3

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1. What is the GCD of 225, 438, 219, 783?

GCD of 225, 438, 219, 783 is 3

2. Where do I get the detailed procedure to find GCD of 225, 438, 219, 783?

You can find a detailed procedure to find GCD of 225, 438, 219, 783 on our page.

3. How to find GCD of 225, 438, 219, 783 on a calculator?

You can find the GCD of 225, 438, 219, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.