GCD of 390, 965, 493, 904 Calculator

Given Input numbers are 390, 965, 493, 904

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 390, 965, 493, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 965, 493, 904 is 1.

Therefore, GCD of numbers 390, 965, 493, 904 is 1

Given Input Data is 390, 965, 493, 904

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 965 is 5 x 193

Prime Factorization of 493 is 17 x 29

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(390, 965) = 75270

GCD(390, 965) = ( 390 x 965 ) / 75270

GCD(390, 965) = 376350 / 75270

GCD(390, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 493

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

LCM(5, 493) = 2465

GCD(5, 493) = ( 5 x 493 ) / 2465

GCD(5, 493) = 2465 / 2465

GCD(5, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 390, 965, 493, 904 is 1

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1. What is the GCD of 390, 965, 493, 904?

GCD of 390, 965, 493, 904 is 1

2. Where do I get the detailed procedure to find GCD of 390, 965, 493, 904?

You can find a detailed procedure to find GCD of 390, 965, 493, 904 on our page.

3. How to find GCD of 390, 965, 493, 904 on a calculator?

You can find the GCD of 390, 965, 493, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.