GCD of 872, 978, 313, 329 Calculator

Given Input numbers are 872, 978, 313, 329

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 313

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

1, 313

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 872, 978, 313, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 978, 313, 329 is 1.

Therefore, GCD of numbers 872, 978, 313, 329 is 1

Given Input Data is 872, 978, 313, 329

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 313 is 313

Prime Factorization of 329 is 7 x 47

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(872, 978) = 426408

GCD(872, 978) = ( 872 x 978 ) / 426408

GCD(872, 978) = 852816 / 426408

GCD(872, 978) = 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 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 872, 978, 313, 329 is 1

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1. What is the GCD of 872, 978, 313, 329?

GCD of 872, 978, 313, 329 is 1

2. Where do I get the detailed procedure to find GCD of 872, 978, 313, 329?

You can find a detailed procedure to find GCD of 872, 978, 313, 329 on our page.

3. How to find GCD of 872, 978, 313, 329 on a calculator?

You can find the GCD of 872, 978, 313, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.