GCD of 212, 382, 80, 398 Calculator

Given Input numbers are 212, 382, 80, 398

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 212, 382, 80, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 382, 80, 398 is 2.

Therefore, GCD of numbers 212, 382, 80, 398 is 2

Given Input Data is 212, 382, 80, 398

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 382 is 2 x 191

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 398 is 2 x 199

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(212, 382) = 40492

GCD(212, 382) = ( 212 x 382 ) / 40492

GCD(212, 382) = 80984 / 40492

GCD(212, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 212, 382, 80, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 882, 45, 404
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1. What is the GCD of 212, 382, 80, 398?

GCD of 212, 382, 80, 398 is 2

2. Where do I get the detailed procedure to find GCD of 212, 382, 80, 398?

You can find a detailed procedure to find GCD of 212, 382, 80, 398 on our page.

3. How to find GCD of 212, 382, 80, 398 on a calculator?

You can find the GCD of 212, 382, 80, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.