GCD of 323, 119, 80, 563 Calculator

Given Input numbers are 323, 119, 80, 563

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 323, 119, 80, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 119, 80, 563 is 1.

Therefore, GCD of numbers 323, 119, 80, 563 is 1

Given Input Data is 323, 119, 80, 563

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 119 is 7 x 17

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

Prime Factorization of 563 is 563

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(323, 119) = 2261

GCD(323, 119) = ( 323 x 119 ) / 2261

GCD(323, 119) = 38437 / 2261

GCD(323, 119) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 80

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

LCM(17, 80) = 1360

GCD(17, 80) = ( 17 x 80 ) / 1360

GCD(17, 80) = 1360 / 1360

GCD(17, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 323, 119, 80, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 860, 86, 639
• GCD of 329, 857, 32, 384
• GCD of 737, 428, 77, 476
• GCD of 754, 873, 61, 695
• GCD of 836, 486, 11, 354

1. What is the GCD of 323, 119, 80, 563?

GCD of 323, 119, 80, 563 is 1

2. Where do I get the detailed procedure to find GCD of 323, 119, 80, 563?

You can find a detailed procedure to find GCD of 323, 119, 80, 563 on our page.

3. How to find GCD of 323, 119, 80, 563 on a calculator?

You can find the GCD of 323, 119, 80, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.