GCD of 554, 450, 109, 904 Calculator

Given Input numbers are 554, 450, 109, 904

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 554, 450, 109, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 450, 109, 904 is 1.

Therefore, GCD of numbers 554, 450, 109, 904 is 1

Given Input Data is 554, 450, 109, 904

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 109 is 109

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(554, 450) = 124650

GCD(554, 450) = ( 554 x 450 ) / 124650

GCD(554, 450) = 249300 / 124650

GCD(554, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 554, 450, 109, 904 is 1

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1. What is the GCD of 554, 450, 109, 904?

GCD of 554, 450, 109, 904 is 1

2. Where do I get the detailed procedure to find GCD of 554, 450, 109, 904?

You can find a detailed procedure to find GCD of 554, 450, 109, 904 on our page.

3. How to find GCD of 554, 450, 109, 904 on a calculator?

You can find the GCD of 554, 450, 109, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.