GCD of 927, 800, 71, 993 Calculator

Given Input numbers are 927, 800, 71, 993

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

Divisors of 927

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

1, 3, 9, 103, 309, 927

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 927, 800, 71, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 800, 71, 993 is 1.

Therefore, GCD of numbers 927, 800, 71, 993 is 1

Given Input Data is 927, 800, 71, 993

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

Prime Factorization of 927 is 3 x 3 x 103

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

Prime Factorization of 71 is 71

Prime Factorization of 993 is 3 x 331

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(927, 800) = 741600

GCD(927, 800) = ( 927 x 800 ) / 741600

GCD(927, 800) = 741600 / 741600

GCD(927, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 927, 800, 71, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 230, 41, 564
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• GCD of 438, 818, 16, 753

1. What is the GCD of 927, 800, 71, 993?

GCD of 927, 800, 71, 993 is 1

2. Where do I get the detailed procedure to find GCD of 927, 800, 71, 993?

You can find a detailed procedure to find GCD of 927, 800, 71, 993 on our page.

3. How to find GCD of 927, 800, 71, 993 on a calculator?

You can find the GCD of 927, 800, 71, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.