GCD of 328, 766, 988, 312 Calculator

Given Input numbers are 328, 766, 988, 312

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

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 328, 766, 988, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 766, 988, 312 is 2.

Therefore, GCD of numbers 328, 766, 988, 312 is 2

Given Input Data is 328, 766, 988, 312

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

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

Prime Factorization of 766 is 2 x 383

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(328, 766) = 125624

GCD(328, 766) = ( 328 x 766 ) / 125624

GCD(328, 766) = 251248 / 125624

GCD(328, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 328, 766, 988, 312 is 2

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1. What is the GCD of 328, 766, 988, 312?

GCD of 328, 766, 988, 312 is 2

2. Where do I get the detailed procedure to find GCD of 328, 766, 988, 312?

You can find a detailed procedure to find GCD of 328, 766, 988, 312 on our page.

3. How to find GCD of 328, 766, 988, 312 on a calculator?

You can find the GCD of 328, 766, 988, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.