GCD of 800, 123, 916 Calculator

Given Input numbers are 800, 123, 916

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 800, 123, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 123, 916 is 1.

Therefore, GCD of numbers 800, 123, 916 is 1

Given Input Data is 800, 123, 916

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 123 is 3 x 41

Prime Factorization of 916 is 2 x 2 x 229

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, 123) = 98400

GCD(800, 123) = ( 800 x 123 ) / 98400

GCD(800, 123) = 98400 / 98400

GCD(800, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 800, 123, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 647, 761
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• GCD of 204, 323, 226
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1. What is the GCD of 800, 123, 916?

GCD of 800, 123, 916 is 1

2. Where do I get the detailed procedure to find GCD of 800, 123, 916?

You can find a detailed procedure to find GCD of 800, 123, 916 on our page.

3. How to find GCD of 800, 123, 916 on a calculator?

You can find the GCD of 800, 123, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.