GCD of 986, 570, 260, 249 Calculator

Given Input numbers are 986, 570, 260, 249

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 986, 570, 260, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 570, 260, 249 is 1.

Therefore, GCD of numbers 986, 570, 260, 249 is 1

Given Input Data is 986, 570, 260, 249

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 249 is 3 x 83

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(986, 570) = 281010

GCD(986, 570) = ( 986 x 570 ) / 281010

GCD(986, 570) = 562020 / 281010

GCD(986, 570) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 986, 570, 260, 249 is 1

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1. What is the GCD of 986, 570, 260, 249?

GCD of 986, 570, 260, 249 is 1

2. Where do I get the detailed procedure to find GCD of 986, 570, 260, 249?

You can find a detailed procedure to find GCD of 986, 570, 260, 249 on our page.

3. How to find GCD of 986, 570, 260, 249 on a calculator?

You can find the GCD of 986, 570, 260, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.