GCD of 396, 866, 356 Calculator

Given Input numbers are 396, 866, 356

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 396, 866, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 866, 356 is 2.

Therefore, GCD of numbers 396, 866, 356 is 2

Given Input Data is 396, 866, 356

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 866 is 2 x 433

Prime Factorization of 356 is 2 x 2 x 89

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(396, 866) = 171468

GCD(396, 866) = ( 396 x 866 ) / 171468

GCD(396, 866) = 342936 / 171468

GCD(396, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 396, 866, 356 is 2

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1. What is the GCD of 396, 866, 356?

GCD of 396, 866, 356 is 2

2. Where do I get the detailed procedure to find GCD of 396, 866, 356?

You can find a detailed procedure to find GCD of 396, 866, 356 on our page.

3. How to find GCD of 396, 866, 356 on a calculator?

You can find the GCD of 396, 866, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.