GCD of 486, 988, 14, 679 Calculator

Given Input numbers are 486, 988, 14, 679

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 14

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

1, 2, 7, 14

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 486, 988, 14, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 988, 14, 679 is 1.

Therefore, GCD of numbers 486, 988, 14, 679 is 1

Given Input Data is 486, 988, 14, 679

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 679 is 7 x 97

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(486, 988) = 240084

GCD(486, 988) = ( 486 x 988 ) / 240084

GCD(486, 988) = 480168 / 240084

GCD(486, 988) = 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 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 486, 988, 14, 679 is 1

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1. What is the GCD of 486, 988, 14, 679?

GCD of 486, 988, 14, 679 is 1

2. Where do I get the detailed procedure to find GCD of 486, 988, 14, 679?

You can find a detailed procedure to find GCD of 486, 988, 14, 679 on our page.

3. How to find GCD of 486, 988, 14, 679 on a calculator?

You can find the GCD of 486, 988, 14, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.