GCD of 718, 306, 71, 768 Calculator

Given Input numbers are 718, 306, 71, 768

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 718, 306, 71, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 306, 71, 768 is 1.

Therefore, GCD of numbers 718, 306, 71, 768 is 1

Given Input Data is 718, 306, 71, 768

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 71 is 71

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(718, 306) = 109854

GCD(718, 306) = ( 718 x 306 ) / 109854

GCD(718, 306) = 219708 / 109854

GCD(718, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 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 718, 306, 71, 768 is 1

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1. What is the GCD of 718, 306, 71, 768?

GCD of 718, 306, 71, 768 is 1

2. Where do I get the detailed procedure to find GCD of 718, 306, 71, 768?

You can find a detailed procedure to find GCD of 718, 306, 71, 768 on our page.

3. How to find GCD of 718, 306, 71, 768 on a calculator?

You can find the GCD of 718, 306, 71, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.