GCD of 38, 902, 336, 894 Calculator

Given Input numbers are 38, 902, 336, 894

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 38, 902, 336, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 902, 336, 894 is 2.

Therefore, GCD of numbers 38, 902, 336, 894 is 2

Given Input Data is 38, 902, 336, 894

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 894 is 2 x 3 x 149

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(38, 902) = 17138

GCD(38, 902) = ( 38 x 902 ) / 17138

GCD(38, 902) = 34276 / 17138

GCD(38, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 38, 902, 336, 894 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 270, 745, 604
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• GCD of 41, 741, 520, 229

1. What is the GCD of 38, 902, 336, 894?

GCD of 38, 902, 336, 894 is 2

2. Where do I get the detailed procedure to find GCD of 38, 902, 336, 894?

You can find a detailed procedure to find GCD of 38, 902, 336, 894 on our page.

3. How to find GCD of 38, 902, 336, 894 on a calculator?

You can find the GCD of 38, 902, 336, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.