GCD of 388, 836, 354, 484 Calculator

Given Input numbers are 388, 836, 354, 484

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 388, 836, 354, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 836, 354, 484 is 2.

Therefore, GCD of numbers 388, 836, 354, 484 is 2

Given Input Data is 388, 836, 354, 484

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 484 is 2 x 2 x 11 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(388, 836) = 81092

GCD(388, 836) = ( 388 x 836 ) / 81092

GCD(388, 836) = 324368 / 81092

GCD(388, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 354

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

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

GCD(4, 354) = 1416 / 708

GCD(4, 354) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

GCD of 388, 836, 354, 484 is 2

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1. What is the GCD of 388, 836, 354, 484?

GCD of 388, 836, 354, 484 is 2

2. Where do I get the detailed procedure to find GCD of 388, 836, 354, 484?

You can find a detailed procedure to find GCD of 388, 836, 354, 484 on our page.

3. How to find GCD of 388, 836, 354, 484 on a calculator?

You can find the GCD of 388, 836, 354, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.