GCD of 759, 855, 242, 794 Calculator

Given Input numbers are 759, 855, 242, 794

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 794

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

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 759, 855, 242, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 855, 242, 794 is 1.

Therefore, GCD of numbers 759, 855, 242, 794 is 1

Given Input Data is 759, 855, 242, 794

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 794 is 2 x 397

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(759, 855) = 216315

GCD(759, 855) = ( 759 x 855 ) / 216315

GCD(759, 855) = 648945 / 216315

GCD(759, 855) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 242

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

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

GCD(3, 242) = 726 / 726

GCD(3, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 759, 855, 242, 794 is 1

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1. What is the GCD of 759, 855, 242, 794?

GCD of 759, 855, 242, 794 is 1

2. Where do I get the detailed procedure to find GCD of 759, 855, 242, 794?

You can find a detailed procedure to find GCD of 759, 855, 242, 794 on our page.

3. How to find GCD of 759, 855, 242, 794 on a calculator?

You can find the GCD of 759, 855, 242, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.