GCD of 790, 322, 289, 314 Calculator

Given Input numbers are 790, 322, 289, 314

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 790, 322, 289, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 322, 289, 314 is 1.

Therefore, GCD of numbers 790, 322, 289, 314 is 1

Given Input Data is 790, 322, 289, 314

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 289 is 17 x 17

Prime Factorization of 314 is 2 x 157

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(790, 322) = 127190

GCD(790, 322) = ( 790 x 322 ) / 127190

GCD(790, 322) = 254380 / 127190

GCD(790, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 790, 322, 289, 314 is 1

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1. What is the GCD of 790, 322, 289, 314?

GCD of 790, 322, 289, 314 is 1

2. Where do I get the detailed procedure to find GCD of 790, 322, 289, 314?

You can find a detailed procedure to find GCD of 790, 322, 289, 314 on our page.

3. How to find GCD of 790, 322, 289, 314 on a calculator?

You can find the GCD of 790, 322, 289, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.