GCD of 882, 904, 258, 408 Calculator

Given Input numbers are 882, 904, 258, 408

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

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 904

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

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 882, 904, 258, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 904, 258, 408 is 2.

Therefore, GCD of numbers 882, 904, 258, 408 is 2

Given Input Data is 882, 904, 258, 408

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

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

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(882, 904) = 398664

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

GCD(882, 904) = 797328 / 398664

GCD(882, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 882, 904, 258, 408 is 2

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1. What is the GCD of 882, 904, 258, 408?

GCD of 882, 904, 258, 408 is 2

2. Where do I get the detailed procedure to find GCD of 882, 904, 258, 408?

You can find a detailed procedure to find GCD of 882, 904, 258, 408 on our page.

3. How to find GCD of 882, 904, 258, 408 on a calculator?

You can find the GCD of 882, 904, 258, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.