GCD of 259, 688, 91, 864 Calculator

Given Input numbers are 259, 688, 91, 864

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 259, 688, 91, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 688, 91, 864 is 1.

Therefore, GCD of numbers 259, 688, 91, 864 is 1

Given Input Data is 259, 688, 91, 864

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 91 is 7 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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, 688) = 178192

GCD(259, 688) = ( 259 x 688 ) / 178192

GCD(259, 688) = 178192 / 178192

GCD(259, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 259, 688, 91, 864 is 1

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1. What is the GCD of 259, 688, 91, 864?

GCD of 259, 688, 91, 864 is 1

2. Where do I get the detailed procedure to find GCD of 259, 688, 91, 864?

You can find a detailed procedure to find GCD of 259, 688, 91, 864 on our page.

3. How to find GCD of 259, 688, 91, 864 on a calculator?

You can find the GCD of 259, 688, 91, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.