GCD of 554, 494, 225 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 554, 494, 225 i.e. 1 largest integer that divides all the numbers equally.

GCD of 554, 494, 225 is 1

GCD(554, 494, 225) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 554, 494, 225 is 1

GCD(554, 494, 225) = 1

GCD of 554,494,225 Calculator

GCDof 554,494,225 is 1

Given Input numbers are 554, 494, 225

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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 554, 494, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 494, 225 is 1.

Therefore, GCD of numbers 554, 494, 225 is 1

Finding GCD of 554, 494, 225 using Prime Factorization

Given Input Data is 554, 494, 225

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 494 is 2 x 13 x 19

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

Finding GCD of 554, 494, 225 using LCM Formula

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(554, 494) = 136838

GCD(554, 494) = ( 554 x 494 ) / 136838

GCD(554, 494) = 273676 / 136838

GCD(554, 494) = 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 554, 494, 225 is 1

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FAQs on GCD of numbers 554, 494, 225

1. What is the GCD of 554, 494, 225?

GCD of 554, 494, 225 is 1

2. Where do I get the detailed procedure to find GCD of 554, 494, 225?

You can find a detailed procedure to find GCD of 554, 494, 225 on our page.

3. How to find GCD of 554, 494, 225 on a calculator?

You can find the GCD of 554, 494, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.