GCD of 800, 591, 605, 778 Calculator

Given Input numbers are 800, 591, 605, 778

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 800, 591, 605, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 591, 605, 778 is 1.

Therefore, GCD of numbers 800, 591, 605, 778 is 1

Given Input Data is 800, 591, 605, 778

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 591 is 3 x 197

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 778 is 2 x 389

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, 591) = 472800

GCD(800, 591) = ( 800 x 591 ) / 472800

GCD(800, 591) = 472800 / 472800

GCD(800, 591) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 800, 591, 605, 778 is 1

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1. What is the GCD of 800, 591, 605, 778?

GCD of 800, 591, 605, 778 is 1

2. Where do I get the detailed procedure to find GCD of 800, 591, 605, 778?

You can find a detailed procedure to find GCD of 800, 591, 605, 778 on our page.

3. How to find GCD of 800, 591, 605, 778 on a calculator?

You can find the GCD of 800, 591, 605, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.