GCD of 993, 288, 714 Calculator

Given Input numbers are 993, 288, 714

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 993, 288, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 288, 714 is 3.

Therefore, GCD of numbers 993, 288, 714 is 3

Given Input Data is 993, 288, 714

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 714 is 2 x 3 x 7 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 288) = 95328

GCD(993, 288) = ( 993 x 288 ) / 95328

GCD(993, 288) = 285984 / 95328

GCD(993, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 993, 288, 714 is 3

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1. What is the GCD of 993, 288, 714?

GCD of 993, 288, 714 is 3

2. Where do I get the detailed procedure to find GCD of 993, 288, 714?

You can find a detailed procedure to find GCD of 993, 288, 714 on our page.

3. How to find GCD of 993, 288, 714 on a calculator?

You can find the GCD of 993, 288, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.