GCD of 993, 899, 45, 916 Calculator

Given Input numbers are 993, 899, 45, 916

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

Divisors of 993

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

1, 3, 331, 993

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 993, 899, 45, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 899, 45, 916 is 1.

Therefore, GCD of numbers 993, 899, 45, 916 is 1

Given Input Data is 993, 899, 45, 916

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 899 is 29 x 31

Prime Factorization of 45 is 3 x 3 x 5

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(993, 899) = 892707

GCD(993, 899) = ( 993 x 899 ) / 892707

GCD(993, 899) = 892707 / 892707

GCD(993, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

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 993, 899, 45, 916 is 1

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1. What is the GCD of 993, 899, 45, 916?

GCD of 993, 899, 45, 916 is 1

2. Where do I get the detailed procedure to find GCD of 993, 899, 45, 916?

You can find a detailed procedure to find GCD of 993, 899, 45, 916 on our page.

3. How to find GCD of 993, 899, 45, 916 on a calculator?

You can find the GCD of 993, 899, 45, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.