GCD of 322, 314, 879, 365 Calculator

Given Input numbers are 322, 314, 879, 365

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 314

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

1, 2, 157, 314

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 322, 314, 879, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 314, 879, 365 is 1.

Therefore, GCD of numbers 322, 314, 879, 365 is 1

Given Input Data is 322, 314, 879, 365

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 314 is 2 x 157

Prime Factorization of 879 is 3 x 293

Prime Factorization of 365 is 5 x 73

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(322, 314) = 50554

GCD(322, 314) = ( 322 x 314 ) / 50554

GCD(322, 314) = 101108 / 50554

GCD(322, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 879

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

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

GCD(2, 879) = 1758 / 1758

GCD(2, 879) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 322, 314, 879, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 126, 313, 446
• GCD of 500, 330, 562, 993
• GCD of 956, 236, 491, 889
• GCD of 971, 165, 181, 912
• GCD of 521, 629, 960, 886

1. What is the GCD of 322, 314, 879, 365?

GCD of 322, 314, 879, 365 is 1

2. Where do I get the detailed procedure to find GCD of 322, 314, 879, 365?

You can find a detailed procedure to find GCD of 322, 314, 879, 365 on our page.

3. How to find GCD of 322, 314, 879, 365 on a calculator?

You can find the GCD of 322, 314, 879, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.