GCD of 289, 978, 76, 798 Calculator

Given Input numbers are 289, 978, 76, 798

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 978

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

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 289, 978, 76, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 978, 76, 798 is 1.

Therefore, GCD of numbers 289, 978, 76, 798 is 1

Given Input Data is 289, 978, 76, 798

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(289, 978) = 282642

GCD(289, 978) = ( 289 x 978 ) / 282642

GCD(289, 978) = 282642 / 282642

GCD(289, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 289, 978, 76, 798 is 1

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1. What is the GCD of 289, 978, 76, 798?

GCD of 289, 978, 76, 798 is 1

2. Where do I get the detailed procedure to find GCD of 289, 978, 76, 798?

You can find a detailed procedure to find GCD of 289, 978, 76, 798 on our page.

3. How to find GCD of 289, 978, 76, 798 on a calculator?

You can find the GCD of 289, 978, 76, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.