GCD of 259, 297, 682, 263 Calculator

Given Input numbers are 259, 297, 682, 263

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 259, 297, 682, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 297, 682, 263 is 1.

Therefore, GCD of numbers 259, 297, 682, 263 is 1

Given Input Data is 259, 297, 682, 263

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 263 is 263

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, 297) = 76923

GCD(259, 297) = ( 259 x 297 ) / 76923

GCD(259, 297) = 76923 / 76923

GCD(259, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 259, 297, 682, 263 is 1

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1. What is the GCD of 259, 297, 682, 263?

GCD of 259, 297, 682, 263 is 1

2. Where do I get the detailed procedure to find GCD of 259, 297, 682, 263?

You can find a detailed procedure to find GCD of 259, 297, 682, 263 on our page.

3. How to find GCD of 259, 297, 682, 263 on a calculator?

You can find the GCD of 259, 297, 682, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.