GCD of 550, 274, 728, 215 Calculator

Given Input numbers are 550, 274, 728, 215

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

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 550, 274, 728, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 274, 728, 215 is 1.

Therefore, GCD of numbers 550, 274, 728, 215 is 1

Given Input Data is 550, 274, 728, 215

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

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 215 is 5 x 43

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(550, 274) = 75350

GCD(550, 274) = ( 550 x 274 ) / 75350

GCD(550, 274) = 150700 / 75350

GCD(550, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 550, 274, 728, 215 is 1

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1. What is the GCD of 550, 274, 728, 215?

GCD of 550, 274, 728, 215 is 1

2. Where do I get the detailed procedure to find GCD of 550, 274, 728, 215?

You can find a detailed procedure to find GCD of 550, 274, 728, 215 on our page.

3. How to find GCD of 550, 274, 728, 215 on a calculator?

You can find the GCD of 550, 274, 728, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.