GCD of 800, 539, 677 Calculator

Given Input numbers are 800, 539, 677

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 800, 539, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 539, 677 is 1.

Therefore, GCD of numbers 800, 539, 677 is 1

Given Input Data is 800, 539, 677

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 539 is 7 x 7 x 11

Prime Factorization of 677 is 677

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, 539) = 431200

GCD(800, 539) = ( 800 x 539 ) / 431200

GCD(800, 539) = 431200 / 431200

GCD(800, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 800, 539, 677 is 1

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1. What is the GCD of 800, 539, 677?

GCD of 800, 539, 677 is 1

2. Where do I get the detailed procedure to find GCD of 800, 539, 677?

You can find a detailed procedure to find GCD of 800, 539, 677 on our page.

3. How to find GCD of 800, 539, 677 on a calculator?

You can find the GCD of 800, 539, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.