GCD of 747, 372, 12 Calculator

Given Input numbers are 747, 372, 12

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 747, 372, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 372, 12 is 3.

Therefore, GCD of numbers 747, 372, 12 is 3

Given Input Data is 747, 372, 12

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 12 is 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(747, 372) = 92628

GCD(747, 372) = ( 747 x 372 ) / 92628

GCD(747, 372) = 277884 / 92628

GCD(747, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

GCD of 747, 372, 12 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 846, 69
• GCD of 425, 721, 48
• GCD of 415, 188, 63
• GCD of 369, 173, 27
• GCD of 652, 759, 25

1. What is the GCD of 747, 372, 12?

GCD of 747, 372, 12 is 3

2. Where do I get the detailed procedure to find GCD of 747, 372, 12?

You can find a detailed procedure to find GCD of 747, 372, 12 on our page.

3. How to find GCD of 747, 372, 12 on a calculator?

You can find the GCD of 747, 372, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.