GCD of 259, 795, 698, 355 Calculator

Given Input numbers are 259, 795, 698, 355

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 259, 795, 698, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 795, 698, 355 is 1.

Therefore, GCD of numbers 259, 795, 698, 355 is 1

Given Input Data is 259, 795, 698, 355

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 698 is 2 x 349

Prime Factorization of 355 is 5 x 71

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, 795) = 205905

GCD(259, 795) = ( 259 x 795 ) / 205905

GCD(259, 795) = 205905 / 205905

GCD(259, 795) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 259, 795, 698, 355 is 1

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1. What is the GCD of 259, 795, 698, 355?

GCD of 259, 795, 698, 355 is 1

2. Where do I get the detailed procedure to find GCD of 259, 795, 698, 355?

You can find a detailed procedure to find GCD of 259, 795, 698, 355 on our page.

3. How to find GCD of 259, 795, 698, 355 on a calculator?

You can find the GCD of 259, 795, 698, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.