GCD of 99, 522, 257, 267 Calculator

Given Input numbers are 99, 522, 257, 267

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 99, 522, 257, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 522, 257, 267 is 1.

Therefore, GCD of numbers 99, 522, 257, 267 is 1

Given Input Data is 99, 522, 257, 267

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 257 is 257

Prime Factorization of 267 is 3 x 89

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, 522) = 5742

GCD(99, 522) = ( 99 x 522 ) / 5742

GCD(99, 522) = 51678 / 5742

GCD(99, 522) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 257

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

LCM(9, 257) = 2313

GCD(9, 257) = ( 9 x 257 ) / 2313

GCD(9, 257) = 2313 / 2313

GCD(9, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 99, 522, 257, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 325, 407, 775
• GCD of 20, 118, 134, 272
• GCD of 54, 431, 625, 215
• GCD of 73, 848, 463, 401
• GCD of 46, 294, 526, 192

1. What is the GCD of 99, 522, 257, 267?

GCD of 99, 522, 257, 267 is 1

2. Where do I get the detailed procedure to find GCD of 99, 522, 257, 267?

You can find a detailed procedure to find GCD of 99, 522, 257, 267 on our page.

3. How to find GCD of 99, 522, 257, 267 on a calculator?

You can find the GCD of 99, 522, 257, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.