GCD of 99, 580, 299, 547 Calculator

Given Input numbers are 99, 580, 299, 547

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 99, 580, 299, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 580, 299, 547 is 1.

Therefore, GCD of numbers 99, 580, 299, 547 is 1

Given Input Data is 99, 580, 299, 547

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 299 is 13 x 23

Prime Factorization of 547 is 547

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(99, 580) = 57420

GCD(99, 580) = ( 99 x 580 ) / 57420

GCD(99, 580) = 57420 / 57420

GCD(99, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 99, 580, 299, 547 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 263, 238, 570
• GCD of 42, 648, 279, 656
• GCD of 58, 718, 426, 442
• GCD of 48, 608, 618, 883
• GCD of 97, 374, 184, 683

1. What is the GCD of 99, 580, 299, 547?

GCD of 99, 580, 299, 547 is 1

2. Where do I get the detailed procedure to find GCD of 99, 580, 299, 547?

You can find a detailed procedure to find GCD of 99, 580, 299, 547 on our page.

3. How to find GCD of 99, 580, 299, 547 on a calculator?

You can find the GCD of 99, 580, 299, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.