GCD of 259, 105, 695 Calculator

Given Input numbers are 259, 105, 695

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 259, 105, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 105, 695 is 1.

Therefore, GCD of numbers 259, 105, 695 is 1

Given Input Data is 259, 105, 695

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 695 is 5 x 139

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, 105) = 3885

GCD(259, 105) = ( 259 x 105 ) / 3885

GCD(259, 105) = 27195 / 3885

GCD(259, 105) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 695

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

LCM(7, 695) = 4865

GCD(7, 695) = ( 7 x 695 ) / 4865

GCD(7, 695) = 4865 / 4865

GCD(7, 695) = 1

GCD of 259, 105, 695 is 1

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1. What is the GCD of 259, 105, 695?

GCD of 259, 105, 695 is 1

2. Where do I get the detailed procedure to find GCD of 259, 105, 695?

You can find a detailed procedure to find GCD of 259, 105, 695 on our page.

3. How to find GCD of 259, 105, 695 on a calculator?

You can find the GCD of 259, 105, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.