GCD of 130, 295, 819 Calculator

Given Input numbers are 130, 295, 819

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

Divisors of 130

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

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 130, 295, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 295, 819 is 1.

Therefore, GCD of numbers 130, 295, 819 is 1

Given Input Data is 130, 295, 819

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 295 is 5 x 59

Prime Factorization of 819 is 3 x 3 x 7 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(130, 295) = 7670

GCD(130, 295) = ( 130 x 295 ) / 7670

GCD(130, 295) = 38350 / 7670

GCD(130, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 819

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

LCM(5, 819) = 4095

GCD(5, 819) = ( 5 x 819 ) / 4095

GCD(5, 819) = 4095 / 4095

GCD(5, 819) = 1

GCD of 130, 295, 819 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 134, 944
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• GCD of 152, 702, 549
• GCD of 984, 172, 182
• GCD of 619, 992, 564

1. What is the GCD of 130, 295, 819?

GCD of 130, 295, 819 is 1

2. Where do I get the detailed procedure to find GCD of 130, 295, 819?

You can find a detailed procedure to find GCD of 130, 295, 819 on our page.

3. How to find GCD of 130, 295, 819 on a calculator?

You can find the GCD of 130, 295, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.