GCD of 505, 493, 99, 431 Calculator

Given Input numbers are 505, 493, 99, 431

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 505, 493, 99, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 493, 99, 431 is 1.

Therefore, GCD of numbers 505, 493, 99, 431 is 1

Given Input Data is 505, 493, 99, 431

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 493 is 17 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 431 is 431

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, 493) = 248965

GCD(505, 493) = ( 505 x 493 ) / 248965

GCD(505, 493) = 248965 / 248965

GCD(505, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 505, 493, 99, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 261, 45, 961
• GCD of 310, 687, 99, 374
• GCD of 779, 619, 52, 296
• GCD of 900, 366, 10, 162
• GCD of 740, 799, 78, 188

1. What is the GCD of 505, 493, 99, 431?

GCD of 505, 493, 99, 431 is 1

2. Where do I get the detailed procedure to find GCD of 505, 493, 99, 431?

You can find a detailed procedure to find GCD of 505, 493, 99, 431 on our page.

3. How to find GCD of 505, 493, 99, 431 on a calculator?

You can find the GCD of 505, 493, 99, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.