GCD of 800, 835, 96, 779 Calculator

Given Input numbers are 800, 835, 96, 779

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 800, 835, 96, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 835, 96, 779 is 1.

Therefore, GCD of numbers 800, 835, 96, 779 is 1

Given Input Data is 800, 835, 96, 779

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 835 is 5 x 167

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(800, 835) = 133600

GCD(800, 835) = ( 800 x 835 ) / 133600

GCD(800, 835) = 668000 / 133600

GCD(800, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 96

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

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

GCD(5, 96) = 480 / 480

GCD(5, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 800, 835, 96, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 335, 45, 458
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• GCD of 861, 814, 80, 605

1. What is the GCD of 800, 835, 96, 779?

GCD of 800, 835, 96, 779 is 1

2. Where do I get the detailed procedure to find GCD of 800, 835, 96, 779?

You can find a detailed procedure to find GCD of 800, 835, 96, 779 on our page.

3. How to find GCD of 800, 835, 96, 779 on a calculator?

You can find the GCD of 800, 835, 96, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.