GCD of 996, 330, 345, 381 Calculator

Given Input numbers are 996, 330, 345, 381

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 996, 330, 345, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 330, 345, 381 is 3.

Therefore, GCD of numbers 996, 330, 345, 381 is 3

Given Input Data is 996, 330, 345, 381

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 381 is 3 x 127

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(996, 330) = 54780

GCD(996, 330) = ( 996 x 330 ) / 54780

GCD(996, 330) = 328680 / 54780

GCD(996, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 345

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

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

GCD(6, 345) = 2070 / 690

GCD(6, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

GCD of 996, 330, 345, 381 is 3

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1. What is the GCD of 996, 330, 345, 381?

GCD of 996, 330, 345, 381 is 3

2. Where do I get the detailed procedure to find GCD of 996, 330, 345, 381?

You can find a detailed procedure to find GCD of 996, 330, 345, 381 on our page.

3. How to find GCD of 996, 330, 345, 381 on a calculator?

You can find the GCD of 996, 330, 345, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.