GCD of 825, 788, 984, 249 Calculator

Given Input numbers are 825, 788, 984, 249

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 825, 788, 984, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 788, 984, 249 is 1.

Therefore, GCD of numbers 825, 788, 984, 249 is 1

Given Input Data is 825, 788, 984, 249

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 788 is 2 x 2 x 197

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 249 is 3 x 83

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, 788) = 650100

GCD(825, 788) = ( 825 x 788 ) / 650100

GCD(825, 788) = 650100 / 650100

GCD(825, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 825, 788, 984, 249 is 1

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1. What is the GCD of 825, 788, 984, 249?

GCD of 825, 788, 984, 249 is 1

2. Where do I get the detailed procedure to find GCD of 825, 788, 984, 249?

You can find a detailed procedure to find GCD of 825, 788, 984, 249 on our page.

3. How to find GCD of 825, 788, 984, 249 on a calculator?

You can find the GCD of 825, 788, 984, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.