GCD of 31, 230, 925, 792 Calculator

Given Input numbers are 31, 230, 925, 792

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

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

Greatest Common Divisior

We found the divisors of 31, 230, 925, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 230, 925, 792 is 1.

Therefore, GCD of numbers 31, 230, 925, 792 is 1

Given Input Data is 31, 230, 925, 792

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

Prime Factorization of 31 is 31

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 925 is 5 x 5 x 37

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

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(31, 230) = 7130

GCD(31, 230) = ( 31 x 230 ) / 7130

GCD(31, 230) = 7130 / 7130

GCD(31, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 31, 230, 925, 792 is 1

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1. What is the GCD of 31, 230, 925, 792?

GCD of 31, 230, 925, 792 is 1

2. Where do I get the detailed procedure to find GCD of 31, 230, 925, 792?

You can find a detailed procedure to find GCD of 31, 230, 925, 792 on our page.

3. How to find GCD of 31, 230, 925, 792 on a calculator?

You can find the GCD of 31, 230, 925, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.