GCD of 505, 973, 28, 550 Calculator

Given Input numbers are 505, 973, 28, 550

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 505, 973, 28, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 973, 28, 550 is 1.

Therefore, GCD of numbers 505, 973, 28, 550 is 1

Given Input Data is 505, 973, 28, 550

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 973 is 7 x 139

Prime Factorization of 28 is 2 x 2 x 7

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(505, 973) = 491365

GCD(505, 973) = ( 505 x 973 ) / 491365

GCD(505, 973) = 491365 / 491365

GCD(505, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 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 505, 973, 28, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 607, 19, 749
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• GCD of 103, 804, 85, 954

1. What is the GCD of 505, 973, 28, 550?

GCD of 505, 973, 28, 550 is 1

2. Where do I get the detailed procedure to find GCD of 505, 973, 28, 550?

You can find a detailed procedure to find GCD of 505, 973, 28, 550 on our page.

3. How to find GCD of 505, 973, 28, 550 on a calculator?

You can find the GCD of 505, 973, 28, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.