GCD of 292, 507, 12 Calculator

Given Input numbers are 292, 507, 12

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 292, 507, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 507, 12 is 1.

Therefore, GCD of numbers 292, 507, 12 is 1

Given Input Data is 292, 507, 12

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 12 is 2 x 2 x 3

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(292, 507) = 148044

GCD(292, 507) = ( 292 x 507 ) / 148044

GCD(292, 507) = 148044 / 148044

GCD(292, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 292, 507, 12 is 1

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1. What is the GCD of 292, 507, 12?

GCD of 292, 507, 12 is 1

2. Where do I get the detailed procedure to find GCD of 292, 507, 12?

You can find a detailed procedure to find GCD of 292, 507, 12 on our page.

3. How to find GCD of 292, 507, 12 on a calculator?

You can find the GCD of 292, 507, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.