GCD of 314, 956, 313, 573 Calculator

Given Input numbers are 314, 956, 313, 573

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 313

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

1, 313

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 314, 956, 313, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 956, 313, 573 is 1.

Therefore, GCD of numbers 314, 956, 313, 573 is 1

Given Input Data is 314, 956, 313, 573

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 313 is 313

Prime Factorization of 573 is 3 x 191

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(314, 956) = 150092

GCD(314, 956) = ( 314 x 956 ) / 150092

GCD(314, 956) = 300184 / 150092

GCD(314, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 573

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

LCM(1, 573) = 573

GCD(1, 573) = ( 1 x 573 ) / 573

GCD(1, 573) = 573 / 573

GCD(1, 573) = 1

GCD of 314, 956, 313, 573 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 894, 207, 855
• GCD of 827, 687, 573, 280
• GCD of 165, 260, 263, 111
• GCD of 269, 636, 856, 190
• GCD of 851, 704, 275, 928

1. What is the GCD of 314, 956, 313, 573?

GCD of 314, 956, 313, 573 is 1

2. Where do I get the detailed procedure to find GCD of 314, 956, 313, 573?

You can find a detailed procedure to find GCD of 314, 956, 313, 573 on our page.

3. How to find GCD of 314, 956, 313, 573 on a calculator?

You can find the GCD of 314, 956, 313, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.