GCD of 259, 561, 313, 197 Calculator

Given Input numbers are 259, 561, 313, 197

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 313

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

1, 313

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 259, 561, 313, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 561, 313, 197 is 1.

Therefore, GCD of numbers 259, 561, 313, 197 is 1

Given Input Data is 259, 561, 313, 197

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 313 is 313

Prime Factorization of 197 is 197

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, 561) = 145299

GCD(259, 561) = ( 259 x 561 ) / 145299

GCD(259, 561) = 145299 / 145299

GCD(259, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 259, 561, 313, 197 is 1

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1. What is the GCD of 259, 561, 313, 197?

GCD of 259, 561, 313, 197 is 1

2. Where do I get the detailed procedure to find GCD of 259, 561, 313, 197?

You can find a detailed procedure to find GCD of 259, 561, 313, 197 on our page.

3. How to find GCD of 259, 561, 313, 197 on a calculator?

You can find the GCD of 259, 561, 313, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.