GCD of 994, 999, 57 Calculator

Given Input numbers are 994, 999, 57

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 994, 999, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 999, 57 is 1.

Therefore, GCD of numbers 994, 999, 57 is 1

Given Input Data is 994, 999, 57

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 57 is 3 x 19

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(994, 999) = 993006

GCD(994, 999) = ( 994 x 999 ) / 993006

GCD(994, 999) = 993006 / 993006

GCD(994, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

GCD of 994, 999, 57 is 1

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1. What is the GCD of 994, 999, 57?

GCD of 994, 999, 57 is 1

2. Where do I get the detailed procedure to find GCD of 994, 999, 57?

You can find a detailed procedure to find GCD of 994, 999, 57 on our page.

3. How to find GCD of 994, 999, 57 on a calculator?

You can find the GCD of 994, 999, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.