GCD of 50, 232, 825, 798 Calculator

Given Input numbers are 50, 232, 825, 798

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 50, 232, 825, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 232, 825, 798 is 1.

Therefore, GCD of numbers 50, 232, 825, 798 is 1

Given Input Data is 50, 232, 825, 798

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

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

Prime Factorization of 798 is 2 x 3 x 7 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(50, 232) = 5800

GCD(50, 232) = ( 50 x 232 ) / 5800

GCD(50, 232) = 11600 / 5800

GCD(50, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 50, 232, 825, 798 is 1

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1. What is the GCD of 50, 232, 825, 798?

GCD of 50, 232, 825, 798 is 1

2. Where do I get the detailed procedure to find GCD of 50, 232, 825, 798?

You can find a detailed procedure to find GCD of 50, 232, 825, 798 on our page.

3. How to find GCD of 50, 232, 825, 798 on a calculator?

You can find the GCD of 50, 232, 825, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.