GCD of 850, 844, 82, 904 Calculator

Given Input numbers are 850, 844, 82, 904

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 904

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

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

Greatest Common Divisior

We found the divisors of 850, 844, 82, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 844, 82, 904 is 2.

Therefore, GCD of numbers 850, 844, 82, 904 is 2

Given Input Data is 850, 844, 82, 904

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 82 is 2 x 41

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

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(850, 844) = 358700

GCD(850, 844) = ( 850 x 844 ) / 358700

GCD(850, 844) = 717400 / 358700

GCD(850, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 850, 844, 82, 904 is 2

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1. What is the GCD of 850, 844, 82, 904?

GCD of 850, 844, 82, 904 is 2

2. Where do I get the detailed procedure to find GCD of 850, 844, 82, 904?

You can find a detailed procedure to find GCD of 850, 844, 82, 904 on our page.

3. How to find GCD of 850, 844, 82, 904 on a calculator?

You can find the GCD of 850, 844, 82, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.