GCD of 766, 428, 779 Calculator

Given Input numbers are 766, 428, 779

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 766, 428, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 428, 779 is 1.

Therefore, GCD of numbers 766, 428, 779 is 1

Given Input Data is 766, 428, 779

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 779 is 19 x 41

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(766, 428) = 163924

GCD(766, 428) = ( 766 x 428 ) / 163924

GCD(766, 428) = 327848 / 163924

GCD(766, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

GCD of 766, 428, 779 is 1

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1. What is the GCD of 766, 428, 779?

GCD of 766, 428, 779 is 1

2. Where do I get the detailed procedure to find GCD of 766, 428, 779?

You can find a detailed procedure to find GCD of 766, 428, 779 on our page.

3. How to find GCD of 766, 428, 779 on a calculator?

You can find the GCD of 766, 428, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.