GCD of 259, 289, 694, 312 Calculator

Given Input numbers are 259, 289, 694, 312

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 289

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

1, 17, 289

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 259, 289, 694, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 289, 694, 312 is 1.

Therefore, GCD of numbers 259, 289, 694, 312 is 1

Given Input Data is 259, 289, 694, 312

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 289 is 17 x 17

Prime Factorization of 694 is 2 x 347

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(259, 289) = 74851

GCD(259, 289) = ( 259 x 289 ) / 74851

GCD(259, 289) = 74851 / 74851

GCD(259, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 259, 289, 694, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 567, 372, 943
• GCD of 574, 427, 359, 920
• GCD of 135, 231, 831, 280
• GCD of 626, 764, 221, 622
• GCD of 347, 775, 835, 583

1. What is the GCD of 259, 289, 694, 312?

GCD of 259, 289, 694, 312 is 1

2. Where do I get the detailed procedure to find GCD of 259, 289, 694, 312?

You can find a detailed procedure to find GCD of 259, 289, 694, 312 on our page.

3. How to find GCD of 259, 289, 694, 312 on a calculator?

You can find the GCD of 259, 289, 694, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.