GCD of 825, 393, 51, 982 Calculator

Given Input numbers are 825, 393, 51, 982

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 825, 393, 51, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 393, 51, 982 is 1.

Therefore, GCD of numbers 825, 393, 51, 982 is 1

Given Input Data is 825, 393, 51, 982

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 393 is 3 x 131

Prime Factorization of 51 is 3 x 17

Prime Factorization of 982 is 2 x 491

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(825, 393) = 108075

GCD(825, 393) = ( 825 x 393 ) / 108075

GCD(825, 393) = 324225 / 108075

GCD(825, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 982

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

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

GCD(3, 982) = 2946 / 2946

GCD(3, 982) = 1

GCD of 825, 393, 51, 982 is 1

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• GCD of 556, 412, 52, 369
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1. What is the GCD of 825, 393, 51, 982?

GCD of 825, 393, 51, 982 is 1

2. Where do I get the detailed procedure to find GCD of 825, 393, 51, 982?

You can find a detailed procedure to find GCD of 825, 393, 51, 982 on our page.

3. How to find GCD of 825, 393, 51, 982 on a calculator?

You can find the GCD of 825, 393, 51, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.