GCD of 986, 406, 660, 689 Calculator

Given Input numbers are 986, 406, 660, 689

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 986, 406, 660, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 406, 660, 689 is 1.

Therefore, GCD of numbers 986, 406, 660, 689 is 1

Given Input Data is 986, 406, 660, 689

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 406 is 2 x 7 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 689 is 13 x 53

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, 406) = 6902

GCD(986, 406) = ( 986 x 406 ) / 6902

GCD(986, 406) = 400316 / 6902

GCD(986, 406) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 660

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

LCM(58, 660) = 19140

GCD(58, 660) = ( 58 x 660 ) / 19140

GCD(58, 660) = 38280 / 19140

GCD(58, 660) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 986, 406, 660, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 588, 905, 190
• GCD of 433, 969, 640, 581
• GCD of 225, 409, 807, 716
• GCD of 277, 280, 897, 455
• GCD of 319, 149, 928, 912

1. What is the GCD of 986, 406, 660, 689?

GCD of 986, 406, 660, 689 is 1

2. Where do I get the detailed procedure to find GCD of 986, 406, 660, 689?

You can find a detailed procedure to find GCD of 986, 406, 660, 689 on our page.

3. How to find GCD of 986, 406, 660, 689 on a calculator?

You can find the GCD of 986, 406, 660, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.