GCD of 984, 138, 329, 163 Calculator

Given Input numbers are 984, 138, 329, 163

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 984, 138, 329, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 138, 329, 163 is 1.

Therefore, GCD of numbers 984, 138, 329, 163 is 1

Given Input Data is 984, 138, 329, 163

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 329 is 7 x 47

Prime Factorization of 163 is 163

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(984, 138) = 22632

GCD(984, 138) = ( 984 x 138 ) / 22632

GCD(984, 138) = 135792 / 22632

GCD(984, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 329

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

LCM(6, 329) = 1974

GCD(6, 329) = ( 6 x 329 ) / 1974

GCD(6, 329) = 1974 / 1974

GCD(6, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 984, 138, 329, 163 is 1

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1. What is the GCD of 984, 138, 329, 163?

GCD of 984, 138, 329, 163 is 1

2. Where do I get the detailed procedure to find GCD of 984, 138, 329, 163?

You can find a detailed procedure to find GCD of 984, 138, 329, 163 on our page.

3. How to find GCD of 984, 138, 329, 163 on a calculator?

You can find the GCD of 984, 138, 329, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.