GCD of 225, 978, 90, 173 Calculator

Given Input numbers are 225, 978, 90, 173

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 225, 978, 90, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 978, 90, 173 is 1.

Therefore, GCD of numbers 225, 978, 90, 173 is 1

Given Input Data is 225, 978, 90, 173

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 978 is 2 x 3 x 163

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 173 is 173

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, 978) = 73350

GCD(225, 978) = ( 225 x 978 ) / 73350

GCD(225, 978) = 220050 / 73350

GCD(225, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 173

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

LCM(3, 173) = 519

GCD(3, 173) = ( 3 x 173 ) / 519

GCD(3, 173) = 519 / 519

GCD(3, 173) = 1

GCD of 225, 978, 90, 173 is 1

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1. What is the GCD of 225, 978, 90, 173?

GCD of 225, 978, 90, 173 is 1

2. Where do I get the detailed procedure to find GCD of 225, 978, 90, 173?

You can find a detailed procedure to find GCD of 225, 978, 90, 173 on our page.

3. How to find GCD of 225, 978, 90, 173 on a calculator?

You can find the GCD of 225, 978, 90, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.