GCD of 816, 902, 294, 324 Calculator

Given Input numbers are 816, 902, 294, 324

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 816, 902, 294, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 902, 294, 324 is 2.

Therefore, GCD of numbers 816, 902, 294, 324 is 2

Given Input Data is 816, 902, 294, 324

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(816, 902) = 368016

GCD(816, 902) = ( 816 x 902 ) / 368016

GCD(816, 902) = 736032 / 368016

GCD(816, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 816, 902, 294, 324 is 2

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1. What is the GCD of 816, 902, 294, 324?

GCD of 816, 902, 294, 324 is 2

2. Where do I get the detailed procedure to find GCD of 816, 902, 294, 324?

You can find a detailed procedure to find GCD of 816, 902, 294, 324 on our page.

3. How to find GCD of 816, 902, 294, 324 on a calculator?

You can find the GCD of 816, 902, 294, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.