GCD of 132, 314, 996, 792 Calculator

Given Input numbers are 132, 314, 996, 792

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 132, 314, 996, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 314, 996, 792 is 2.

Therefore, GCD of numbers 132, 314, 996, 792 is 2

Given Input Data is 132, 314, 996, 792

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 792 is 2 x 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(132, 314) = 20724

GCD(132, 314) = ( 132 x 314 ) / 20724

GCD(132, 314) = 41448 / 20724

GCD(132, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 132, 314, 996, 792 is 2

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1. What is the GCD of 132, 314, 996, 792?

GCD of 132, 314, 996, 792 is 2

2. Where do I get the detailed procedure to find GCD of 132, 314, 996, 792?

You can find a detailed procedure to find GCD of 132, 314, 996, 792 on our page.

3. How to find GCD of 132, 314, 996, 792 on a calculator?

You can find the GCD of 132, 314, 996, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.