GCD of 311, 861, 74, 313 Calculator

Given Input numbers are 311, 861, 74, 313

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 311, 861, 74, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 861, 74, 313 is 1.

Therefore, GCD of numbers 311, 861, 74, 313 is 1

Given Input Data is 311, 861, 74, 313

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

Prime Factorization of 311 is 311

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 74 is 2 x 37

Prime Factorization of 313 is 313

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, 861) = 267771

GCD(311, 861) = ( 311 x 861 ) / 267771

GCD(311, 861) = 267771 / 267771

GCD(311, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 311, 861, 74, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 761, 68, 683
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• GCD of 186, 247, 71, 956

1. What is the GCD of 311, 861, 74, 313?

GCD of 311, 861, 74, 313 is 1

2. Where do I get the detailed procedure to find GCD of 311, 861, 74, 313?

You can find a detailed procedure to find GCD of 311, 861, 74, 313 on our page.

3. How to find GCD of 311, 861, 74, 313 on a calculator?

You can find the GCD of 311, 861, 74, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.