GCD of 212, 912, 802, 396 Calculator

Given Input numbers are 212, 912, 802, 396

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 212, 912, 802, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 912, 802, 396 is 2.

Therefore, GCD of numbers 212, 912, 802, 396 is 2

Given Input Data is 212, 912, 802, 396

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 802 is 2 x 401

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(212, 912) = 48336

GCD(212, 912) = ( 212 x 912 ) / 48336

GCD(212, 912) = 193344 / 48336

GCD(212, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 802

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

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

GCD(4, 802) = 3208 / 1604

GCD(4, 802) = 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 212, 912, 802, 396 is 2

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1. What is the GCD of 212, 912, 802, 396?

GCD of 212, 912, 802, 396 is 2

2. Where do I get the detailed procedure to find GCD of 212, 912, 802, 396?

You can find a detailed procedure to find GCD of 212, 912, 802, 396 on our page.

3. How to find GCD of 212, 912, 802, 396 on a calculator?

You can find the GCD of 212, 912, 802, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.