GCD of 369, 681, 310, 800 Calculator

Given Input numbers are 369, 681, 310, 800

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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

Greatest Common Divisior

We found the divisors of 369, 681, 310, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 681, 310, 800 is 1.

Therefore, GCD of numbers 369, 681, 310, 800 is 1

Given Input Data is 369, 681, 310, 800

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 681 is 3 x 227

Prime Factorization of 310 is 2 x 5 x 31

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

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(369, 681) = 83763

GCD(369, 681) = ( 369 x 681 ) / 83763

GCD(369, 681) = 251289 / 83763

GCD(369, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 310

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

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

GCD(3, 310) = 930 / 930

GCD(3, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 369, 681, 310, 800 is 1

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• GCD of 166, 508, 681, 769
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1. What is the GCD of 369, 681, 310, 800?

GCD of 369, 681, 310, 800 is 1

2. Where do I get the detailed procedure to find GCD of 369, 681, 310, 800?

You can find a detailed procedure to find GCD of 369, 681, 310, 800 on our page.

3. How to find GCD of 369, 681, 310, 800 on a calculator?

You can find the GCD of 369, 681, 310, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.