GCD of 225, 540, 386, 217 Calculator

Given Input numbers are 225, 540, 386, 217

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 225, 540, 386, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 540, 386, 217 is 1.

Therefore, GCD of numbers 225, 540, 386, 217 is 1

Given Input Data is 225, 540, 386, 217

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 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 386 is 2 x 193

Prime Factorization of 217 is 7 x 31

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, 540) = 2700

GCD(225, 540) = ( 225 x 540 ) / 2700

GCD(225, 540) = 121500 / 2700

GCD(225, 540) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 386

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

LCM(45, 386) = 17370

GCD(45, 386) = ( 45 x 386 ) / 17370

GCD(45, 386) = 17370 / 17370

GCD(45, 386) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 225, 540, 386, 217 is 1

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1. What is the GCD of 225, 540, 386, 217?

GCD of 225, 540, 386, 217 is 1

2. Where do I get the detailed procedure to find GCD of 225, 540, 386, 217?

You can find a detailed procedure to find GCD of 225, 540, 386, 217 on our page.

3. How to find GCD of 225, 540, 386, 217 on a calculator?

You can find the GCD of 225, 540, 386, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.