GCD of 882, 204, 344, 924 Calculator

Given Input numbers are 882, 204, 344, 924

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 882, 204, 344, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 204, 344, 924 is 2.

Therefore, GCD of numbers 882, 204, 344, 924 is 2

Given Input Data is 882, 204, 344, 924

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 204 is 2 x 2 x 3 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 204) = 29988

GCD(882, 204) = ( 882 x 204 ) / 29988

GCD(882, 204) = 179928 / 29988

GCD(882, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 344

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

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

GCD(6, 344) = 2064 / 1032

GCD(6, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 882, 204, 344, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 327, 837, 309
• GCD of 660, 499, 275, 893
• GCD of 501, 796, 309, 134
• GCD of 283, 511, 556, 812
• GCD of 723, 841, 209, 161

1. What is the GCD of 882, 204, 344, 924?

GCD of 882, 204, 344, 924 is 2

2. Where do I get the detailed procedure to find GCD of 882, 204, 344, 924?

You can find a detailed procedure to find GCD of 882, 204, 344, 924 on our page.

3. How to find GCD of 882, 204, 344, 924 on a calculator?

You can find the GCD of 882, 204, 344, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.