GCD of 982, 520, 23, 363 Calculator

Given Input numbers are 982, 520, 23, 363

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 982, 520, 23, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 520, 23, 363 is 1.

Therefore, GCD of numbers 982, 520, 23, 363 is 1

Given Input Data is 982, 520, 23, 363

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 23 is 23

Prime Factorization of 363 is 3 x 11 x 11

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(982, 520) = 255320

GCD(982, 520) = ( 982 x 520 ) / 255320

GCD(982, 520) = 510640 / 255320

GCD(982, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 982, 520, 23, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 257, 58, 533
• GCD of 237, 492, 73, 915
• GCD of 417, 387, 83, 462
• GCD of 588, 653, 17, 519
• GCD of 524, 856, 90, 356

1. What is the GCD of 982, 520, 23, 363?

GCD of 982, 520, 23, 363 is 1

2. Where do I get the detailed procedure to find GCD of 982, 520, 23, 363?

You can find a detailed procedure to find GCD of 982, 520, 23, 363 on our page.

3. How to find GCD of 982, 520, 23, 363 on a calculator?

You can find the GCD of 982, 520, 23, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.