GCD of 80, 353, 522, 406 Calculator

Given Input numbers are 80, 353, 522, 406

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 80, 353, 522, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 353, 522, 406 is 1.

Therefore, GCD of numbers 80, 353, 522, 406 is 1

Given Input Data is 80, 353, 522, 406

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 353 is 353

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 406 is 2 x 7 x 29

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(80, 353) = 28240

GCD(80, 353) = ( 80 x 353 ) / 28240

GCD(80, 353) = 28240 / 28240

GCD(80, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 80, 353, 522, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 405, 702, 533
• GCD of 27, 713, 869, 928
• GCD of 66, 910, 618, 928
• GCD of 34, 375, 618, 621
• GCD of 27, 223, 498, 208

1. What is the GCD of 80, 353, 522, 406?

GCD of 80, 353, 522, 406 is 1

2. Where do I get the detailed procedure to find GCD of 80, 353, 522, 406?

You can find a detailed procedure to find GCD of 80, 353, 522, 406 on our page.

3. How to find GCD of 80, 353, 522, 406 on a calculator?

You can find the GCD of 80, 353, 522, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.