GCD of 800, 414, 671 Calculator

Given Input numbers are 800, 414, 671

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 800, 414, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 414, 671 is 1.

Therefore, GCD of numbers 800, 414, 671 is 1

Given Input Data is 800, 414, 671

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 671 is 11 x 61

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, 414) = 165600

GCD(800, 414) = ( 800 x 414 ) / 165600

GCD(800, 414) = 331200 / 165600

GCD(800, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

GCD of 800, 414, 671 is 1

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1. What is the GCD of 800, 414, 671?

GCD of 800, 414, 671 is 1

2. Where do I get the detailed procedure to find GCD of 800, 414, 671?

You can find a detailed procedure to find GCD of 800, 414, 671 on our page.

3. How to find GCD of 800, 414, 671 on a calculator?

You can find the GCD of 800, 414, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.