GCD of 827, 338, 759 Calculator

Given Input numbers are 827, 338, 759

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 759

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

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

Greatest Common Divisior

We found the divisors of 827, 338, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 338, 759 is 1.

Therefore, GCD of numbers 827, 338, 759 is 1

Given Input Data is 827, 338, 759

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

Prime Factorization of 827 is 827

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 759 is 3 x 11 x 23

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(827, 338) = 279526

GCD(827, 338) = ( 827 x 338 ) / 279526

GCD(827, 338) = 279526 / 279526

GCD(827, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 827, 338, 759 is 1

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1. What is the GCD of 827, 338, 759?

GCD of 827, 338, 759 is 1

2. Where do I get the detailed procedure to find GCD of 827, 338, 759?

You can find a detailed procedure to find GCD of 827, 338, 759 on our page.

3. How to find GCD of 827, 338, 759 on a calculator?

You can find the GCD of 827, 338, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.