GCD of 904, 882, 50 Calculator

Given Input numbers are 904, 882, 50

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 50

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

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 904, 882, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 882, 50 is 2.

Therefore, GCD of numbers 904, 882, 50 is 2

Given Input Data is 904, 882, 50

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 50 is 2 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(904, 882) = 398664

GCD(904, 882) = ( 904 x 882 ) / 398664

GCD(904, 882) = 797328 / 398664

GCD(904, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

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

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

GCD of 904, 882, 50 is 2

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1. What is the GCD of 904, 882, 50?

GCD of 904, 882, 50 is 2

2. Where do I get the detailed procedure to find GCD of 904, 882, 50?

You can find a detailed procedure to find GCD of 904, 882, 50 on our page.

3. How to find GCD of 904, 882, 50 on a calculator?

You can find the GCD of 904, 882, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.