GCD of 497, 284, 304, 550 Calculator

Given Input numbers are 497, 284, 304, 550

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 497, 284, 304, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 284, 304, 550 is 1.

Therefore, GCD of numbers 497, 284, 304, 550 is 1

Given Input Data is 497, 284, 304, 550

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(497, 284) = 1988

GCD(497, 284) = ( 497 x 284 ) / 1988

GCD(497, 284) = 141148 / 1988

GCD(497, 284) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 304

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

LCM(71, 304) = 21584

GCD(71, 304) = ( 71 x 304 ) / 21584

GCD(71, 304) = 21584 / 21584

GCD(71, 304) = 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 497, 284, 304, 550 is 1

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1. What is the GCD of 497, 284, 304, 550?

GCD of 497, 284, 304, 550 is 1

2. Where do I get the detailed procedure to find GCD of 497, 284, 304, 550?

You can find a detailed procedure to find GCD of 497, 284, 304, 550 on our page.

3. How to find GCD of 497, 284, 304, 550 on a calculator?

You can find the GCD of 497, 284, 304, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.