GCD of 978, 481, 289, 251 Calculator

Given Input numbers are 978, 481, 289, 251

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

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 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 289

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

1, 17, 289

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 978, 481, 289, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 481, 289, 251 is 1.

Therefore, GCD of numbers 978, 481, 289, 251 is 1

Given Input Data is 978, 481, 289, 251

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 481 is 13 x 37

Prime Factorization of 289 is 17 x 17

Prime Factorization of 251 is 251

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(978, 481) = 470418

GCD(978, 481) = ( 978 x 481 ) / 470418

GCD(978, 481) = 470418 / 470418

GCD(978, 481) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 978, 481, 289, 251 is 1

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1. What is the GCD of 978, 481, 289, 251?

GCD of 978, 481, 289, 251 is 1

2. Where do I get the detailed procedure to find GCD of 978, 481, 289, 251?

You can find a detailed procedure to find GCD of 978, 481, 289, 251 on our page.

3. How to find GCD of 978, 481, 289, 251 on a calculator?

You can find the GCD of 978, 481, 289, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.