GCD of 260, 930, 996 Calculator

Given Input numbers are 260, 930, 996

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 260, 930, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 930, 996 is 2.

Therefore, GCD of numbers 260, 930, 996 is 2

Given Input Data is 260, 930, 996

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(260, 930) = 24180

GCD(260, 930) = ( 260 x 930 ) / 24180

GCD(260, 930) = 241800 / 24180

GCD(260, 930) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 996

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

LCM(10, 996) = 4980

GCD(10, 996) = ( 10 x 996 ) / 4980

GCD(10, 996) = 9960 / 4980

GCD(10, 996) = 2

GCD of 260, 930, 996 is 2

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1. What is the GCD of 260, 930, 996?

GCD of 260, 930, 996 is 2

2. Where do I get the detailed procedure to find GCD of 260, 930, 996?

You can find a detailed procedure to find GCD of 260, 930, 996 on our page.

3. How to find GCD of 260, 930, 996 on a calculator?

You can find the GCD of 260, 930, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.