GCD of 132, 351, 334, 314 Calculator

Given Input numbers are 132, 351, 334, 314

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 132, 351, 334, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 351, 334, 314 is 1.

Therefore, GCD of numbers 132, 351, 334, 314 is 1

Given Input Data is 132, 351, 334, 314

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 334 is 2 x 167

Prime Factorization of 314 is 2 x 157

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(132, 351) = 15444

GCD(132, 351) = ( 132 x 351 ) / 15444

GCD(132, 351) = 46332 / 15444

GCD(132, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 132, 351, 334, 314 is 1

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1. What is the GCD of 132, 351, 334, 314?

GCD of 132, 351, 334, 314 is 1

2. Where do I get the detailed procedure to find GCD of 132, 351, 334, 314?

You can find a detailed procedure to find GCD of 132, 351, 334, 314 on our page.

3. How to find GCD of 132, 351, 334, 314 on a calculator?

You can find the GCD of 132, 351, 334, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.