GCD of 12, 664, 300, 787 Calculator

Given Input numbers are 12, 664, 300, 787

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 12, 664, 300, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 664, 300, 787 is 1.

Therefore, GCD of numbers 12, 664, 300, 787 is 1

Given Input Data is 12, 664, 300, 787

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 787 is 787

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, 664) = 1992

GCD(12, 664) = ( 12 x 664 ) / 1992

GCD(12, 664) = 7968 / 1992

GCD(12, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 300

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

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

GCD(4, 300) = 1200 / 300

GCD(4, 300) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 787

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

LCM(4, 787) = 3148

GCD(4, 787) = ( 4 x 787 ) / 3148

GCD(4, 787) = 3148 / 3148

GCD(4, 787) = 1

GCD of 12, 664, 300, 787 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 953, 444, 877
• GCD of 69, 645, 560, 208
• GCD of 33, 481, 782, 285
• GCD of 30, 179, 470, 726
• GCD of 24, 155, 955, 435

1. What is the GCD of 12, 664, 300, 787?

GCD of 12, 664, 300, 787 is 1

2. Where do I get the detailed procedure to find GCD of 12, 664, 300, 787?

You can find a detailed procedure to find GCD of 12, 664, 300, 787 on our page.

3. How to find GCD of 12, 664, 300, 787 on a calculator?

You can find the GCD of 12, 664, 300, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.