GCD of 906, 772, 15, 393 Calculator

Given Input numbers are 906, 772, 15, 393

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 906, 772, 15, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 772, 15, 393 is 1.

Therefore, GCD of numbers 906, 772, 15, 393 is 1

Given Input Data is 906, 772, 15, 393

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 15 is 3 x 5

Prime Factorization of 393 is 3 x 131

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(906, 772) = 349716

GCD(906, 772) = ( 906 x 772 ) / 349716

GCD(906, 772) = 699432 / 349716

GCD(906, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 906, 772, 15, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 292, 43, 895
• GCD of 395, 659, 11, 924
• GCD of 734, 900, 77, 498
• GCD of 144, 489, 91, 604
• GCD of 172, 370, 70, 184

1. What is the GCD of 906, 772, 15, 393?

GCD of 906, 772, 15, 393 is 1

2. Where do I get the detailed procedure to find GCD of 906, 772, 15, 393?

You can find a detailed procedure to find GCD of 906, 772, 15, 393 on our page.

3. How to find GCD of 906, 772, 15, 393 on a calculator?

You can find the GCD of 906, 772, 15, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.