GCD of 313, 612, 596, 221 Calculator

Given Input numbers are 313, 612, 596, 221

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 313, 612, 596, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 612, 596, 221 is 1.

Therefore, GCD of numbers 313, 612, 596, 221 is 1

Given Input Data is 313, 612, 596, 221

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

Prime Factorization of 313 is 313

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 221 is 13 x 17

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, 612) = 191556

GCD(313, 612) = ( 313 x 612 ) / 191556

GCD(313, 612) = 191556 / 191556

GCD(313, 612) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 313, 612, 596, 221 is 1

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1. What is the GCD of 313, 612, 596, 221?

GCD of 313, 612, 596, 221 is 1

2. Where do I get the detailed procedure to find GCD of 313, 612, 596, 221?

You can find a detailed procedure to find GCD of 313, 612, 596, 221 on our page.

3. How to find GCD of 313, 612, 596, 221 on a calculator?

You can find the GCD of 313, 612, 596, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.