GCD of 13, 982, 684, 295 Calculator

Given Input numbers are 13, 982, 684, 295

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 982

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

1, 2, 491, 982

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 13, 982, 684, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 982, 684, 295 is 1.

Therefore, GCD of numbers 13, 982, 684, 295 is 1

Given Input Data is 13, 982, 684, 295

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

Prime Factorization of 13 is 13

Prime Factorization of 982 is 2 x 491

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 295 is 5 x 59

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(13, 982) = 12766

GCD(13, 982) = ( 13 x 982 ) / 12766

GCD(13, 982) = 12766 / 12766

GCD(13, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 13, 982, 684, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 155, 907, 326
• GCD of 33, 656, 772, 372
• GCD of 22, 341, 326, 163
• GCD of 78, 269, 254, 295
• GCD of 97, 797, 502, 689

1. What is the GCD of 13, 982, 684, 295?

GCD of 13, 982, 684, 295 is 1

2. Where do I get the detailed procedure to find GCD of 13, 982, 684, 295?

You can find a detailed procedure to find GCD of 13, 982, 684, 295 on our page.

3. How to find GCD of 13, 982, 684, 295 on a calculator?

You can find the GCD of 13, 982, 684, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.