GCD of 781, 309, 19, 116 Calculator

Given Input numbers are 781, 309, 19, 116

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 781, 309, 19, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 309, 19, 116 is 1.

Therefore, GCD of numbers 781, 309, 19, 116 is 1

Given Input Data is 781, 309, 19, 116

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 309 is 3 x 103

Prime Factorization of 19 is 19

Prime Factorization of 116 is 2 x 2 x 29

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(781, 309) = 241329

GCD(781, 309) = ( 781 x 309 ) / 241329

GCD(781, 309) = 241329 / 241329

GCD(781, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 781, 309, 19, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 764, 64, 848
• GCD of 919, 591, 83, 243
• GCD of 545, 949, 77, 423
• GCD of 187, 708, 79, 650
• GCD of 684, 513, 76, 531

1. What is the GCD of 781, 309, 19, 116?

GCD of 781, 309, 19, 116 is 1

2. Where do I get the detailed procedure to find GCD of 781, 309, 19, 116?

You can find a detailed procedure to find GCD of 781, 309, 19, 116 on our page.

3. How to find GCD of 781, 309, 19, 116 on a calculator?

You can find the GCD of 781, 309, 19, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.