GCD of 381, 349, 41, 838 Calculator

Given Input numbers are 381, 349, 41, 838

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 381, 349, 41, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 349, 41, 838 is 1.

Therefore, GCD of numbers 381, 349, 41, 838 is 1

Given Input Data is 381, 349, 41, 838

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 349 is 349

Prime Factorization of 41 is 41

Prime Factorization of 838 is 2 x 419

The above numbers do not have any common prime factor. So GCD is 1

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(381, 349) = 132969

GCD(381, 349) = ( 381 x 349 ) / 132969

GCD(381, 349) = 132969 / 132969

GCD(381, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 381, 349, 41, 838 is 1

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1. What is the GCD of 381, 349, 41, 838?

GCD of 381, 349, 41, 838 is 1

2. Where do I get the detailed procedure to find GCD of 381, 349, 41, 838?

You can find a detailed procedure to find GCD of 381, 349, 41, 838 on our page.

3. How to find GCD of 381, 349, 41, 838 on a calculator?

You can find the GCD of 381, 349, 41, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.