GCD of 391, 259, 870 Calculator

Given Input numbers are 391, 259, 870

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 259

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

1, 7, 37, 259

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 391, 259, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 259, 870 is 1.

Therefore, GCD of numbers 391, 259, 870 is 1

Given Input Data is 391, 259, 870

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 259 is 7 x 37

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(391, 259) = 101269

GCD(391, 259) = ( 391 x 259 ) / 101269

GCD(391, 259) = 101269 / 101269

GCD(391, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 391, 259, 870 is 1

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1. What is the GCD of 391, 259, 870?

GCD of 391, 259, 870 is 1

2. Where do I get the detailed procedure to find GCD of 391, 259, 870?

You can find a detailed procedure to find GCD of 391, 259, 870 on our page.

3. How to find GCD of 391, 259, 870 on a calculator?

You can find the GCD of 391, 259, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.