GCD of 313, 178, 91, 586 Calculator

Given Input numbers are 313, 178, 91, 586

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 313, 178, 91, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 178, 91, 586 is 1.

Therefore, GCD of numbers 313, 178, 91, 586 is 1

Given Input Data is 313, 178, 91, 586

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

Prime Factorization of 313 is 313

Prime Factorization of 178 is 2 x 89

Prime Factorization of 91 is 7 x 13

Prime Factorization of 586 is 2 x 293

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, 178) = 55714

GCD(313, 178) = ( 313 x 178 ) / 55714

GCD(313, 178) = 55714 / 55714

GCD(313, 178) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 313, 178, 91, 586 is 1

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1. What is the GCD of 313, 178, 91, 586?

GCD of 313, 178, 91, 586 is 1

2. Where do I get the detailed procedure to find GCD of 313, 178, 91, 586?

You can find a detailed procedure to find GCD of 313, 178, 91, 586 on our page.

3. How to find GCD of 313, 178, 91, 586 on a calculator?

You can find the GCD of 313, 178, 91, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.