GCD of 130, 717, 68, 768 Calculator

Given Input numbers are 130, 717, 68, 768

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 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 130, 717, 68, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 717, 68, 768 is 1.

Therefore, GCD of numbers 130, 717, 68, 768 is 1

Given Input Data is 130, 717, 68, 768

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 717 is 3 x 239

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 717) = 93210

GCD(130, 717) = ( 130 x 717 ) / 93210

GCD(130, 717) = 93210 / 93210

GCD(130, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 130, 717, 68, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 959, 48, 272
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• GCD of 445, 379, 56, 853
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• GCD of 612, 118, 21, 195

1. What is the GCD of 130, 717, 68, 768?

GCD of 130, 717, 68, 768 is 1

2. Where do I get the detailed procedure to find GCD of 130, 717, 68, 768?

You can find a detailed procedure to find GCD of 130, 717, 68, 768 on our page.

3. How to find GCD of 130, 717, 68, 768 on a calculator?

You can find the GCD of 130, 717, 68, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.