GCD of 996, 132, 269 Calculator

Given Input numbers are 996, 132, 269

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 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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 996, 132, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 132, 269 is 1.

Therefore, GCD of numbers 996, 132, 269 is 1

Given Input Data is 996, 132, 269

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 132 is 2 x 2 x 3 x 11

Prime Factorization of 269 is 269

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(996, 132) = 10956

GCD(996, 132) = ( 996 x 132 ) / 10956

GCD(996, 132) = 131472 / 10956

GCD(996, 132) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 269

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

LCM(12, 269) = 3228

GCD(12, 269) = ( 12 x 269 ) / 3228

GCD(12, 269) = 3228 / 3228

GCD(12, 269) = 1

GCD of 996, 132, 269 is 1

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1. What is the GCD of 996, 132, 269?

GCD of 996, 132, 269 is 1

2. Where do I get the detailed procedure to find GCD of 996, 132, 269?

You can find a detailed procedure to find GCD of 996, 132, 269 on our page.

3. How to find GCD of 996, 132, 269 on a calculator?

You can find the GCD of 996, 132, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.