GCD of 132, 307, 33, 717 Calculator

Given Input numbers are 132, 307, 33, 717

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 132, 307, 33, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 307, 33, 717 is 1.

Therefore, GCD of numbers 132, 307, 33, 717 is 1

Given Input Data is 132, 307, 33, 717

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 307 is 307

Prime Factorization of 33 is 3 x 11

Prime Factorization of 717 is 3 x 239

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, 307) = 40524

GCD(132, 307) = ( 132 x 307 ) / 40524

GCD(132, 307) = 40524 / 40524

GCD(132, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 132, 307, 33, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 614, 19, 457
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• GCD of 160, 588, 43, 212
• GCD of 621, 593, 38, 581

1. What is the GCD of 132, 307, 33, 717?

GCD of 132, 307, 33, 717 is 1

2. Where do I get the detailed procedure to find GCD of 132, 307, 33, 717?

You can find a detailed procedure to find GCD of 132, 307, 33, 717 on our page.

3. How to find GCD of 132, 307, 33, 717 on a calculator?

You can find the GCD of 132, 307, 33, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.