GCD of 130, 725, 84, 194 Calculator

Given Input numbers are 130, 725, 84, 194

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 130, 725, 84, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 725, 84, 194 is 1.

Therefore, GCD of numbers 130, 725, 84, 194 is 1

Given Input Data is 130, 725, 84, 194

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 725 is 5 x 5 x 29

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 194 is 2 x 97

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, 725) = 18850

GCD(130, 725) = ( 130 x 725 ) / 18850

GCD(130, 725) = 94250 / 18850

GCD(130, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 130, 725, 84, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 609, 59, 109
• GCD of 527, 489, 47, 448
• GCD of 520, 195, 87, 454
• GCD of 945, 286, 32, 866
• GCD of 960, 875, 61, 103

1. What is the GCD of 130, 725, 84, 194?

GCD of 130, 725, 84, 194 is 1

2. Where do I get the detailed procedure to find GCD of 130, 725, 84, 194?

You can find a detailed procedure to find GCD of 130, 725, 84, 194 on our page.

3. How to find GCD of 130, 725, 84, 194 on a calculator?

You can find the GCD of 130, 725, 84, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.