GCD of 855, 115, 259, 978 Calculator

Given Input numbers are 855, 115, 259, 978

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 259

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

1, 7, 37, 259

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 855, 115, 259, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 115, 259, 978 is 1.

Therefore, GCD of numbers 855, 115, 259, 978 is 1

Given Input Data is 855, 115, 259, 978

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 115 is 5 x 23

Prime Factorization of 259 is 7 x 37

Prime Factorization of 978 is 2 x 3 x 163

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(855, 115) = 19665

GCD(855, 115) = ( 855 x 115 ) / 19665

GCD(855, 115) = 98325 / 19665

GCD(855, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 259

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

LCM(5, 259) = 1295

GCD(5, 259) = ( 5 x 259 ) / 1295

GCD(5, 259) = 1295 / 1295

GCD(5, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 855, 115, 259, 978 is 1

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1. What is the GCD of 855, 115, 259, 978?

GCD of 855, 115, 259, 978 is 1

2. Where do I get the detailed procedure to find GCD of 855, 115, 259, 978?

You can find a detailed procedure to find GCD of 855, 115, 259, 978 on our page.

3. How to find GCD of 855, 115, 259, 978 on a calculator?

You can find the GCD of 855, 115, 259, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.