GCD of 305, 838, 369 Calculator

Given Input numbers are 305, 838, 369

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 838

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

1, 2, 419, 838

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 305, 838, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 838, 369 is 1.

Therefore, GCD of numbers 305, 838, 369 is 1

Given Input Data is 305, 838, 369

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 838 is 2 x 419

Prime Factorization of 369 is 3 x 3 x 41

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(305, 838) = 255590

GCD(305, 838) = ( 305 x 838 ) / 255590

GCD(305, 838) = 255590 / 255590

GCD(305, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 305, 838, 369 is 1

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1. What is the GCD of 305, 838, 369?

GCD of 305, 838, 369 is 1

2. Where do I get the detailed procedure to find GCD of 305, 838, 369?

You can find a detailed procedure to find GCD of 305, 838, 369 on our page.

3. How to find GCD of 305, 838, 369 on a calculator?

You can find the GCD of 305, 838, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.