GCD of 313, 311, 73, 905 Calculator

Given Input numbers are 313, 311, 73, 905

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

Divisors of 313

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

1, 313

Divisors of 311

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

1, 311

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 313, 311, 73, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 311, 73, 905 is 1.

Therefore, GCD of numbers 313, 311, 73, 905 is 1

Given Input Data is 313, 311, 73, 905

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

Prime Factorization of 313 is 313

Prime Factorization of 311 is 311

Prime Factorization of 73 is 73

Prime Factorization of 905 is 5 x 181

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(313, 311) = 97343

GCD(313, 311) = ( 313 x 311 ) / 97343

GCD(313, 311) = 97343 / 97343

GCD(313, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 313, 311, 73, 905 is 1

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1. What is the GCD of 313, 311, 73, 905?

GCD of 313, 311, 73, 905 is 1

2. Where do I get the detailed procedure to find GCD of 313, 311, 73, 905?

You can find a detailed procedure to find GCD of 313, 311, 73, 905 on our page.

3. How to find GCD of 313, 311, 73, 905 on a calculator?

You can find the GCD of 313, 311, 73, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.