GCD of 12, 517, 507, 297 Calculator

Given Input numbers are 12, 517, 507, 297

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 12, 517, 507, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 517, 507, 297 is 1.

Therefore, GCD of numbers 12, 517, 507, 297 is 1

Given Input Data is 12, 517, 507, 297

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 517 is 11 x 47

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 517) = 6204

GCD(12, 517) = ( 12 x 517 ) / 6204

GCD(12, 517) = 6204 / 6204

GCD(12, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 12, 517, 507, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 942, 326, 238
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• GCD of 35, 787, 350, 500
• GCD of 44, 296, 811, 163

1. What is the GCD of 12, 517, 507, 297?

GCD of 12, 517, 507, 297 is 1

2. Where do I get the detailed procedure to find GCD of 12, 517, 507, 297?

You can find a detailed procedure to find GCD of 12, 517, 507, 297 on our page.

3. How to find GCD of 12, 517, 507, 297 on a calculator?

You can find the GCD of 12, 517, 507, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.