GCD of 20, 966, 328, 276 Calculator

Given Input numbers are 20, 966, 328, 276

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 20, 966, 328, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 966, 328, 276 is 2.

Therefore, GCD of numbers 20, 966, 328, 276 is 2

Given Input Data is 20, 966, 328, 276

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(20, 966) = 9660

GCD(20, 966) = ( 20 x 966 ) / 9660

GCD(20, 966) = 19320 / 9660

GCD(20, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 20, 966, 328, 276 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 322, 815, 693
• GCD of 29, 256, 697, 498
• GCD of 54, 866, 302, 891
• GCD of 71, 448, 327, 239
• GCD of 18, 510, 381, 400

1. What is the GCD of 20, 966, 328, 276?

GCD of 20, 966, 328, 276 is 2

2. Where do I get the detailed procedure to find GCD of 20, 966, 328, 276?

You can find a detailed procedure to find GCD of 20, 966, 328, 276 on our page.

3. How to find GCD of 20, 966, 328, 276 on a calculator?

You can find the GCD of 20, 966, 328, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.