GCD of 982, 116, 25, 513 Calculator

Given Input numbers are 982, 116, 25, 513

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 982, 116, 25, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 116, 25, 513 is 1.

Therefore, GCD of numbers 982, 116, 25, 513 is 1

Given Input Data is 982, 116, 25, 513

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 116) = 56956

GCD(982, 116) = ( 982 x 116 ) / 56956

GCD(982, 116) = 113912 / 56956

GCD(982, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 982, 116, 25, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 455, 89, 153
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• GCD of 481, 912, 54, 430
• GCD of 880, 667, 45, 988
• GCD of 661, 769, 47, 400

1. What is the GCD of 982, 116, 25, 513?

GCD of 982, 116, 25, 513 is 1

2. Where do I get the detailed procedure to find GCD of 982, 116, 25, 513?

You can find a detailed procedure to find GCD of 982, 116, 25, 513 on our page.

3. How to find GCD of 982, 116, 25, 513 on a calculator?

You can find the GCD of 982, 116, 25, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.