GCD of 986, 731, 342 Calculator

Given Input numbers are 986, 731, 342

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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

Greatest Common Divisior

We found the divisors of 986, 731, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 731, 342 is 1.

Therefore, GCD of numbers 986, 731, 342 is 1

Given Input Data is 986, 731, 342

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 731 is 17 x 43

Prime Factorization of 342 is 2 x 3 x 3 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(986, 731) = 42398

GCD(986, 731) = ( 986 x 731 ) / 42398

GCD(986, 731) = 720766 / 42398

GCD(986, 731) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 342

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

LCM(17, 342) = 5814

GCD(17, 342) = ( 17 x 342 ) / 5814

GCD(17, 342) = 5814 / 5814

GCD(17, 342) = 1

GCD of 986, 731, 342 is 1

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1. What is the GCD of 986, 731, 342?

GCD of 986, 731, 342 is 1

2. Where do I get the detailed procedure to find GCD of 986, 731, 342?

You can find a detailed procedure to find GCD of 986, 731, 342 on our page.

3. How to find GCD of 986, 731, 342 on a calculator?

You can find the GCD of 986, 731, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.