GCD of 230, 792, 15, 775 Calculator

Given Input numbers are 230, 792, 15, 775

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 15

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

1, 3, 5, 15

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 230, 792, 15, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 792, 15, 775 is 1.

Therefore, GCD of numbers 230, 792, 15, 775 is 1

Given Input Data is 230, 792, 15, 775

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 775 is 5 x 5 x 31

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(230, 792) = 91080

GCD(230, 792) = ( 230 x 792 ) / 91080

GCD(230, 792) = 182160 / 91080

GCD(230, 792) = 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 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 230, 792, 15, 775 is 1

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1. What is the GCD of 230, 792, 15, 775?

GCD of 230, 792, 15, 775 is 1

2. Where do I get the detailed procedure to find GCD of 230, 792, 15, 775?

You can find a detailed procedure to find GCD of 230, 792, 15, 775 on our page.

3. How to find GCD of 230, 792, 15, 775 on a calculator?

You can find the GCD of 230, 792, 15, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.