GCD of 182, 208, 316, 396 Calculator

Given Input numbers are 182, 208, 316, 396

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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

Greatest Common Divisior

We found the divisors of 182, 208, 316, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 208, 316, 396 is 2.

Therefore, GCD of numbers 182, 208, 316, 396 is 2

Given Input Data is 182, 208, 316, 396

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

Prime Factorization of 182 is 2 x 7 x 13

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

Prime Factorization of 316 is 2 x 2 x 79

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

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(182, 208) = 1456

GCD(182, 208) = ( 182 x 208 ) / 1456

GCD(182, 208) = 37856 / 1456

GCD(182, 208) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 316

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

LCM(26, 316) = 4108

GCD(26, 316) = ( 26 x 316 ) / 4108

GCD(26, 316) = 8216 / 4108

GCD(26, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 182, 208, 316, 396 is 2

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1. What is the GCD of 182, 208, 316, 396?

GCD of 182, 208, 316, 396 is 2

2. Where do I get the detailed procedure to find GCD of 182, 208, 316, 396?

You can find a detailed procedure to find GCD of 182, 208, 316, 396 on our page.

3. How to find GCD of 182, 208, 316, 396 on a calculator?

You can find the GCD of 182, 208, 316, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.