GCD of 78, 130, 387, 199 Calculator

Given Input numbers are 78, 130, 387, 199

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 78, 130, 387, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 130, 387, 199 is 1.

Therefore, GCD of numbers 78, 130, 387, 199 is 1

Given Input Data is 78, 130, 387, 199

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 199 is 199

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(78, 130) = 390

GCD(78, 130) = ( 78 x 130 ) / 390

GCD(78, 130) = 10140 / 390

GCD(78, 130) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 387

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

LCM(26, 387) = 10062

GCD(26, 387) = ( 26 x 387 ) / 10062

GCD(26, 387) = 10062 / 10062

GCD(26, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 78, 130, 387, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 886, 604, 496
• GCD of 50, 493, 619, 446
• GCD of 87, 698, 199, 455
• GCD of 89, 678, 568, 677
• GCD of 95, 346, 725, 190

1. What is the GCD of 78, 130, 387, 199?

GCD of 78, 130, 387, 199 is 1

2. Where do I get the detailed procedure to find GCD of 78, 130, 387, 199?

You can find a detailed procedure to find GCD of 78, 130, 387, 199 on our page.

3. How to find GCD of 78, 130, 387, 199 on a calculator?

You can find the GCD of 78, 130, 387, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.