GCD of 986, 916, 342, 493 Calculator

Given Input numbers are 986, 916, 342, 493

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 986, 916, 342, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 916, 342, 493 is 1.

Therefore, GCD of numbers 986, 916, 342, 493 is 1

Given Input Data is 986, 916, 342, 493

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 916 is 2 x 2 x 229

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 493 is 17 x 29

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, 916) = 451588

GCD(986, 916) = ( 986 x 916 ) / 451588

GCD(986, 916) = 903176 / 451588

GCD(986, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

GCD of 986, 916, 342, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 300, 146, 592
• GCD of 391, 858, 191, 259
• GCD of 130, 216, 906, 707
• GCD of 536, 280, 855, 229
• GCD of 134, 820, 212, 964

1. What is the GCD of 986, 916, 342, 493?

GCD of 986, 916, 342, 493 is 1

2. Where do I get the detailed procedure to find GCD of 986, 916, 342, 493?

You can find a detailed procedure to find GCD of 986, 916, 342, 493 on our page.

3. How to find GCD of 986, 916, 342, 493 on a calculator?

You can find the GCD of 986, 916, 342, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.