GCD of 716, 819, 90, 688 Calculator

Given Input numbers are 716, 819, 90, 688

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 716, 819, 90, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 819, 90, 688 is 1.

Therefore, GCD of numbers 716, 819, 90, 688 is 1

Given Input Data is 716, 819, 90, 688

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(716, 819) = 586404

GCD(716, 819) = ( 716 x 819 ) / 586404

GCD(716, 819) = 586404 / 586404

GCD(716, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 716, 819, 90, 688 is 1

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1. What is the GCD of 716, 819, 90, 688?

GCD of 716, 819, 90, 688 is 1

2. Where do I get the detailed procedure to find GCD of 716, 819, 90, 688?

You can find a detailed procedure to find GCD of 716, 819, 90, 688 on our page.

3. How to find GCD of 716, 819, 90, 688 on a calculator?

You can find the GCD of 716, 819, 90, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.