GCD of 986, 718, 14, 324 Calculator

Given Input numbers are 986, 718, 14, 324

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 986, 718, 14, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 718, 14, 324 is 2.

Therefore, GCD of numbers 986, 718, 14, 324 is 2

Given Input Data is 986, 718, 14, 324

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 718 is 2 x 359

Prime Factorization of 14 is 2 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 718) = 353974

GCD(986, 718) = ( 986 x 718 ) / 353974

GCD(986, 718) = 707948 / 353974

GCD(986, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 986, 718, 14, 324 is 2

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• GCD of 310, 676, 78, 968
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1. What is the GCD of 986, 718, 14, 324?

GCD of 986, 718, 14, 324 is 2

2. Where do I get the detailed procedure to find GCD of 986, 718, 14, 324?

You can find a detailed procedure to find GCD of 986, 718, 14, 324 on our page.

3. How to find GCD of 986, 718, 14, 324 on a calculator?

You can find the GCD of 986, 718, 14, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.