GCD of 400, 304, 927 Calculator

Given Input numbers are 400, 304, 927

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 400, 304, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 304, 927 is 1.

Therefore, GCD of numbers 400, 304, 927 is 1

Given Input Data is 400, 304, 927

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 927 is 3 x 3 x 103

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(400, 304) = 7600

GCD(400, 304) = ( 400 x 304 ) / 7600

GCD(400, 304) = 121600 / 7600

GCD(400, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 927

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

LCM(16, 927) = 14832

GCD(16, 927) = ( 16 x 927 ) / 14832

GCD(16, 927) = 14832 / 14832

GCD(16, 927) = 1

GCD of 400, 304, 927 is 1

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1. What is the GCD of 400, 304, 927?

GCD of 400, 304, 927 is 1

2. Where do I get the detailed procedure to find GCD of 400, 304, 927?

You can find a detailed procedure to find GCD of 400, 304, 927 on our page.

3. How to find GCD of 400, 304, 927 on a calculator?

You can find the GCD of 400, 304, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.