GCD of 838, 198, 938 Calculator

Given Input numbers are 838, 198, 938

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 838, 198, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 198, 938 is 2.

Therefore, GCD of numbers 838, 198, 938 is 2

Given Input Data is 838, 198, 938

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 938 is 2 x 7 x 67

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, 198) = 82962

GCD(838, 198) = ( 838 x 198 ) / 82962

GCD(838, 198) = 165924 / 82962

GCD(838, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 838, 198, 938 is 2

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1. What is the GCD of 838, 198, 938?

GCD of 838, 198, 938 is 2

2. Where do I get the detailed procedure to find GCD of 838, 198, 938?

You can find a detailed procedure to find GCD of 838, 198, 938 on our page.

3. How to find GCD of 838, 198, 938 on a calculator?

You can find the GCD of 838, 198, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.