GCD of 312, 116, 882, 388 Calculator

Given Input numbers are 312, 116, 882, 388

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 312, 116, 882, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 116, 882, 388 is 2.

Therefore, GCD of numbers 312, 116, 882, 388 is 2

Given Input Data is 312, 116, 882, 388

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 116 is 2 x 2 x 29

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

Prime Factorization of 388 is 2 x 2 x 97

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(312, 116) = 9048

GCD(312, 116) = ( 312 x 116 ) / 9048

GCD(312, 116) = 36192 / 9048

GCD(312, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 882

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

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

GCD(4, 882) = 3528 / 1764

GCD(4, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 312, 116, 882, 388 is 2

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1. What is the GCD of 312, 116, 882, 388?

GCD of 312, 116, 882, 388 is 2

2. Where do I get the detailed procedure to find GCD of 312, 116, 882, 388?

You can find a detailed procedure to find GCD of 312, 116, 882, 388 on our page.

3. How to find GCD of 312, 116, 882, 388 on a calculator?

You can find the GCD of 312, 116, 882, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.