GCD of 512, 794, 75, 703 Calculator

Given Input numbers are 512, 794, 75, 703

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 512, 794, 75, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 794, 75, 703 is 1.

Therefore, GCD of numbers 512, 794, 75, 703 is 1

Given Input Data is 512, 794, 75, 703

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 794 is 2 x 397

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 703 is 19 x 37

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(512, 794) = 203264

GCD(512, 794) = ( 512 x 794 ) / 203264

GCD(512, 794) = 406528 / 203264

GCD(512, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 512, 794, 75, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 683, 35, 782
• GCD of 858, 283, 88, 913
• GCD of 927, 780, 65, 371
• GCD of 750, 132, 69, 386
• GCD of 133, 884, 52, 204

1. What is the GCD of 512, 794, 75, 703?

GCD of 512, 794, 75, 703 is 1

2. Where do I get the detailed procedure to find GCD of 512, 794, 75, 703?

You can find a detailed procedure to find GCD of 512, 794, 75, 703 on our page.

3. How to find GCD of 512, 794, 75, 703 on a calculator?

You can find the GCD of 512, 794, 75, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.