GCD of 273, 470, 18, 550 Calculator

Given Input numbers are 273, 470, 18, 550

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 273, 470, 18, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 470, 18, 550 is 1.

Therefore, GCD of numbers 273, 470, 18, 550 is 1

Given Input Data is 273, 470, 18, 550

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(273, 470) = 128310

GCD(273, 470) = ( 273 x 470 ) / 128310

GCD(273, 470) = 128310 / 128310

GCD(273, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 273, 470, 18, 550 is 1

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1. What is the GCD of 273, 470, 18, 550?

GCD of 273, 470, 18, 550 is 1

2. Where do I get the detailed procedure to find GCD of 273, 470, 18, 550?

You can find a detailed procedure to find GCD of 273, 470, 18, 550 on our page.

3. How to find GCD of 273, 470, 18, 550 on a calculator?

You can find the GCD of 273, 470, 18, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.