GCD of 978, 744, 328, 396 Calculator

Given Input numbers are 978, 744, 328, 396

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 978, 744, 328, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 744, 328, 396 is 2.

Therefore, GCD of numbers 978, 744, 328, 396 is 2

Given Input Data is 978, 744, 328, 396

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(978, 744) = 121272

GCD(978, 744) = ( 978 x 744 ) / 121272

GCD(978, 744) = 727632 / 121272

GCD(978, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 328

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

LCM(6, 328) = 984

GCD(6, 328) = ( 6 x 328 ) / 984

GCD(6, 328) = 1968 / 984

GCD(6, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 978, 744, 328, 396 is 2

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1. What is the GCD of 978, 744, 328, 396?

GCD of 978, 744, 328, 396 is 2

2. Where do I get the detailed procedure to find GCD of 978, 744, 328, 396?

You can find a detailed procedure to find GCD of 978, 744, 328, 396 on our page.

3. How to find GCD of 978, 744, 328, 396 on a calculator?

You can find the GCD of 978, 744, 328, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.