GCD of 393, 990, 410, 766 Calculator

Given Input numbers are 393, 990, 410, 766

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

Divisors of 393

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

1, 3, 131, 393

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 393, 990, 410, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 990, 410, 766 is 1.

Therefore, GCD of numbers 393, 990, 410, 766 is 1

Given Input Data is 393, 990, 410, 766

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 766 is 2 x 383

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(393, 990) = 129690

GCD(393, 990) = ( 393 x 990 ) / 129690

GCD(393, 990) = 389070 / 129690

GCD(393, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 410

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

LCM(3, 410) = 1230

GCD(3, 410) = ( 3 x 410 ) / 1230

GCD(3, 410) = 1230 / 1230

GCD(3, 410) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 393, 990, 410, 766 is 1

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1. What is the GCD of 393, 990, 410, 766?

GCD of 393, 990, 410, 766 is 1

2. Where do I get the detailed procedure to find GCD of 393, 990, 410, 766?

You can find a detailed procedure to find GCD of 393, 990, 410, 766 on our page.

3. How to find GCD of 393, 990, 410, 766 on a calculator?

You can find the GCD of 393, 990, 410, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.