GCD of 311, 844, 185, 138 Calculator

Given Input numbers are 311, 844, 185, 138

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 311, 844, 185, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 844, 185, 138 is 1.

Therefore, GCD of numbers 311, 844, 185, 138 is 1

Given Input Data is 311, 844, 185, 138

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

Prime Factorization of 311 is 311

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 185 is 5 x 37

Prime Factorization of 138 is 2 x 3 x 23

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(311, 844) = 262484

GCD(311, 844) = ( 311 x 844 ) / 262484

GCD(311, 844) = 262484 / 262484

GCD(311, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 311, 844, 185, 138 is 1

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1. What is the GCD of 311, 844, 185, 138?

GCD of 311, 844, 185, 138 is 1

2. Where do I get the detailed procedure to find GCD of 311, 844, 185, 138?

You can find a detailed procedure to find GCD of 311, 844, 185, 138 on our page.

3. How to find GCD of 311, 844, 185, 138 on a calculator?

You can find the GCD of 311, 844, 185, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.