GCD of 838, 702, 38 Calculator

Given Input numbers are 838, 702, 38

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 38

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

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 838, 702, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 702, 38 is 2.

Therefore, GCD of numbers 838, 702, 38 is 2

Given Input Data is 838, 702, 38

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 38 is 2 x 19

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(838, 702) = 294138

GCD(838, 702) = ( 838 x 702 ) / 294138

GCD(838, 702) = 588276 / 294138

GCD(838, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

GCD of 838, 702, 38 is 2

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1. What is the GCD of 838, 702, 38?

GCD of 838, 702, 38 is 2

2. Where do I get the detailed procedure to find GCD of 838, 702, 38?

You can find a detailed procedure to find GCD of 838, 702, 38 on our page.

3. How to find GCD of 838, 702, 38 on a calculator?

You can find the GCD of 838, 702, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.