GCD of 231, 259, 961 Calculator

Given Input numbers are 231, 259, 961

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 259

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

1, 7, 37, 259

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 231, 259, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 259, 961 is 1.

Therefore, GCD of numbers 231, 259, 961 is 1

Given Input Data is 231, 259, 961

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 259 is 7 x 37

Prime Factorization of 961 is 31 x 31

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(231, 259) = 8547

GCD(231, 259) = ( 231 x 259 ) / 8547

GCD(231, 259) = 59829 / 8547

GCD(231, 259) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 961

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

LCM(7, 961) = 6727

GCD(7, 961) = ( 7 x 961 ) / 6727

GCD(7, 961) = 6727 / 6727

GCD(7, 961) = 1

GCD of 231, 259, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 787, 107
• GCD of 625, 961, 125
• GCD of 528, 610, 904
• GCD of 497, 621, 277
• GCD of 611, 476, 535

1. What is the GCD of 231, 259, 961?

GCD of 231, 259, 961 is 1

2. Where do I get the detailed procedure to find GCD of 231, 259, 961?

You can find a detailed procedure to find GCD of 231, 259, 961 on our page.

3. How to find GCD of 231, 259, 961 on a calculator?

You can find the GCD of 231, 259, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.