GCD of 123, 396, 130 Calculator

Given Input numbers are 123, 396, 130

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 123, 396, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 396, 130 is 1.

Therefore, GCD of numbers 123, 396, 130 is 1

Given Input Data is 123, 396, 130

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 130 is 2 x 5 x 13

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(123, 396) = 16236

GCD(123, 396) = ( 123 x 396 ) / 16236

GCD(123, 396) = 48708 / 16236

GCD(123, 396) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 130

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

LCM(3, 130) = 390

GCD(3, 130) = ( 3 x 130 ) / 390

GCD(3, 130) = 390 / 390

GCD(3, 130) = 1

GCD of 123, 396, 130 is 1

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1. What is the GCD of 123, 396, 130?

GCD of 123, 396, 130 is 1

2. Where do I get the detailed procedure to find GCD of 123, 396, 130?

You can find a detailed procedure to find GCD of 123, 396, 130 on our page.

3. How to find GCD of 123, 396, 130 on a calculator?

You can find the GCD of 123, 396, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.