GCD of 982, 766, 13, 923 Calculator

Given Input numbers are 982, 766, 13, 923

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 13

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

1, 13

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 982, 766, 13, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 766, 13, 923 is 1.

Therefore, GCD of numbers 982, 766, 13, 923 is 1

Given Input Data is 982, 766, 13, 923

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 766 is 2 x 383

Prime Factorization of 13 is 13

Prime Factorization of 923 is 13 x 71

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, 766) = 376106

GCD(982, 766) = ( 982 x 766 ) / 376106

GCD(982, 766) = 752212 / 376106

GCD(982, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 982, 766, 13, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 693, 47, 725
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• GCD of 225, 162, 55, 691
• GCD of 288, 180, 94, 152
• GCD of 909, 451, 46, 136

1. What is the GCD of 982, 766, 13, 923?

GCD of 982, 766, 13, 923 is 1

2. Where do I get the detailed procedure to find GCD of 982, 766, 13, 923?

You can find a detailed procedure to find GCD of 982, 766, 13, 923 on our page.

3. How to find GCD of 982, 766, 13, 923 on a calculator?

You can find the GCD of 982, 766, 13, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.