GCD of 12, 945, 116, 322 Calculator

Given Input numbers are 12, 945, 116, 322

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 12, 945, 116, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 945, 116, 322 is 1.

Therefore, GCD of numbers 12, 945, 116, 322 is 1

Given Input Data is 12, 945, 116, 322

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 322 is 2 x 7 x 23

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(12, 945) = 3780

GCD(12, 945) = ( 12 x 945 ) / 3780

GCD(12, 945) = 11340 / 3780

GCD(12, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 12, 945, 116, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 143, 720, 416
• GCD of 87, 961, 667, 261
• GCD of 75, 376, 413, 146
• GCD of 96, 240, 325, 742
• GCD of 61, 682, 114, 947

1. What is the GCD of 12, 945, 116, 322?

GCD of 12, 945, 116, 322 is 1

2. Where do I get the detailed procedure to find GCD of 12, 945, 116, 322?

You can find a detailed procedure to find GCD of 12, 945, 116, 322 on our page.

3. How to find GCD of 12, 945, 116, 322 on a calculator?

You can find the GCD of 12, 945, 116, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.