GCD of 12, 849, 752, 375 Calculator

Given Input numbers are 12, 849, 752, 375

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 12, 849, 752, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 849, 752, 375 is 1.

Therefore, GCD of numbers 12, 849, 752, 375 is 1

Given Input Data is 12, 849, 752, 375

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 849 is 3 x 283

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 375 is 3 x 5 x 5 x 5

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, 849) = 3396

GCD(12, 849) = ( 12 x 849 ) / 3396

GCD(12, 849) = 10188 / 3396

GCD(12, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 752

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

LCM(3, 752) = 2256

GCD(3, 752) = ( 3 x 752 ) / 2256

GCD(3, 752) = 2256 / 2256

GCD(3, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 12, 849, 752, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 225, 460, 340
• GCD of 33, 310, 772, 926
• GCD of 67, 467, 763, 239
• GCD of 32, 203, 915, 754
• GCD of 62, 653, 548, 611

1. What is the GCD of 12, 849, 752, 375?

GCD of 12, 849, 752, 375 is 1

2. Where do I get the detailed procedure to find GCD of 12, 849, 752, 375?

You can find a detailed procedure to find GCD of 12, 849, 752, 375 on our page.

3. How to find GCD of 12, 849, 752, 375 on a calculator?

You can find the GCD of 12, 849, 752, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.