GCD of 808, 400, 713, 758 Calculator

Given Input numbers are 808, 400, 713, 758

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 808, 400, 713, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 400, 713, 758 is 1.

Therefore, GCD of numbers 808, 400, 713, 758 is 1

Given Input Data is 808, 400, 713, 758

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 713 is 23 x 31

Prime Factorization of 758 is 2 x 379

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(808, 400) = 40400

GCD(808, 400) = ( 808 x 400 ) / 40400

GCD(808, 400) = 323200 / 40400

GCD(808, 400) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 713

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

LCM(8, 713) = 5704

GCD(8, 713) = ( 8 x 713 ) / 5704

GCD(8, 713) = 5704 / 5704

GCD(8, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 808, 400, 713, 758 is 1

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1. What is the GCD of 808, 400, 713, 758?

GCD of 808, 400, 713, 758 is 1

2. Where do I get the detailed procedure to find GCD of 808, 400, 713, 758?

You can find a detailed procedure to find GCD of 808, 400, 713, 758 on our page.

3. How to find GCD of 808, 400, 713, 758 on a calculator?

You can find the GCD of 808, 400, 713, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.