GCD of 993, 614, 900 Calculator

Given Input numbers are 993, 614, 900

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 993, 614, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 614, 900 is 1.

Therefore, GCD of numbers 993, 614, 900 is 1

Given Input Data is 993, 614, 900

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 614 is 2 x 307

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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, 614) = 609702

GCD(993, 614) = ( 993 x 614 ) / 609702

GCD(993, 614) = 609702 / 609702

GCD(993, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 993, 614, 900 is 1

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1. What is the GCD of 993, 614, 900?

GCD of 993, 614, 900 is 1

2. Where do I get the detailed procedure to find GCD of 993, 614, 900?

You can find a detailed procedure to find GCD of 993, 614, 900 on our page.

3. How to find GCD of 993, 614, 900 on a calculator?

You can find the GCD of 993, 614, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.