GCD of 12, 249, 612, 772 Calculator

Given Input numbers are 12, 249, 612, 772

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 12, 249, 612, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 249, 612, 772 is 1.

Therefore, GCD of numbers 12, 249, 612, 772 is 1

Given Input Data is 12, 249, 612, 772

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 249 is 3 x 83

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 772 is 2 x 2 x 193

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, 249) = 996

GCD(12, 249) = ( 12 x 249 ) / 996

GCD(12, 249) = 2988 / 996

GCD(12, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 772

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

LCM(3, 772) = 2316

GCD(3, 772) = ( 3 x 772 ) / 2316

GCD(3, 772) = 2316 / 2316

GCD(3, 772) = 1

GCD of 12, 249, 612, 772 is 1

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• GCD of 76, 149, 738, 703
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1. What is the GCD of 12, 249, 612, 772?

GCD of 12, 249, 612, 772 is 1

2. Where do I get the detailed procedure to find GCD of 12, 249, 612, 772?

You can find a detailed procedure to find GCD of 12, 249, 612, 772 on our page.

3. How to find GCD of 12, 249, 612, 772 on a calculator?

You can find the GCD of 12, 249, 612, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.