GCD of 212, 798, 790, 408 Calculator

Given Input numbers are 212, 798, 790, 408

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 212, 798, 790, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 798, 790, 408 is 2.

Therefore, GCD of numbers 212, 798, 790, 408 is 2

Given Input Data is 212, 798, 790, 408

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 798) = 84588

GCD(212, 798) = ( 212 x 798 ) / 84588

GCD(212, 798) = 169176 / 84588

GCD(212, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 212, 798, 790, 408 is 2

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1. What is the GCD of 212, 798, 790, 408?

GCD of 212, 798, 790, 408 is 2

2. Where do I get the detailed procedure to find GCD of 212, 798, 790, 408?

You can find a detailed procedure to find GCD of 212, 798, 790, 408 on our page.

3. How to find GCD of 212, 798, 790, 408 on a calculator?

You can find the GCD of 212, 798, 790, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.