GCD of 396, 162, 208 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 396, 162, 208 i.e. 2 largest integer that divides all the numbers equally.

GCD of 396, 162, 208 is 2

GCD(396, 162, 208) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 396, 162, 208 is 2

GCD(396, 162, 208) = 2

GCD of 396,162,208 Calculator

GCDof 396,162,208 is 2

Given Input numbers are 396, 162, 208

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 396, 162, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 162, 208 is 2.

Therefore, GCD of numbers 396, 162, 208 is 2

Finding GCD of 396, 162, 208 using Prime Factorization

Given Input Data is 396, 162, 208

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 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 396, 162, 208 using LCM Formula

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, 162) = 3564

GCD(396, 162) = ( 396 x 162 ) / 3564

GCD(396, 162) = 64152 / 3564

GCD(396, 162) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 208

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

LCM(18, 208) = 1872

GCD(18, 208) = ( 18 x 208 ) / 1872

GCD(18, 208) = 3744 / 1872

GCD(18, 208) = 2

GCD of 396, 162, 208 is 2

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FAQs on GCD of numbers 396, 162, 208

1. What is the GCD of 396, 162, 208?

GCD of 396, 162, 208 is 2

2. Where do I get the detailed procedure to find GCD of 396, 162, 208?

You can find a detailed procedure to find GCD of 396, 162, 208 on our page.

3. How to find GCD of 396, 162, 208 on a calculator?

You can find the GCD of 396, 162, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.