GCD of 928, 115, 220, 825 Calculator

Given Input numbers are 928, 115, 220, 825

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 928, 115, 220, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 115, 220, 825 is 1.

Therefore, GCD of numbers 928, 115, 220, 825 is 1

Given Input Data is 928, 115, 220, 825

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 115 is 5 x 23

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 825 is 3 x 5 x 5 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(928, 115) = 106720

GCD(928, 115) = ( 928 x 115 ) / 106720

GCD(928, 115) = 106720 / 106720

GCD(928, 115) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 928, 115, 220, 825 is 1

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1. What is the GCD of 928, 115, 220, 825?

GCD of 928, 115, 220, 825 is 1

2. Where do I get the detailed procedure to find GCD of 928, 115, 220, 825?

You can find a detailed procedure to find GCD of 928, 115, 220, 825 on our page.

3. How to find GCD of 928, 115, 220, 825 on a calculator?

You can find the GCD of 928, 115, 220, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.