GCD of 366, 412, 882 Calculator

Given Input numbers are 366, 412, 882

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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

Greatest Common Divisior

We found the divisors of 366, 412, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 412, 882 is 2.

Therefore, GCD of numbers 366, 412, 882 is 2

Given Input Data is 366, 412, 882

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 412 is 2 x 2 x 103

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

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(366, 412) = 75396

GCD(366, 412) = ( 366 x 412 ) / 75396

GCD(366, 412) = 150792 / 75396

GCD(366, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 366, 412, 882 is 2

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1. What is the GCD of 366, 412, 882?

GCD of 366, 412, 882 is 2

2. Where do I get the detailed procedure to find GCD of 366, 412, 882?

You can find a detailed procedure to find GCD of 366, 412, 882 on our page.

3. How to find GCD of 366, 412, 882 on a calculator?

You can find the GCD of 366, 412, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.