GCD of 714, 388, 99, 923 Calculator

Given Input numbers are 714, 388, 99, 923

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

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 714, 388, 99, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 388, 99, 923 is 1.

Therefore, GCD of numbers 714, 388, 99, 923 is 1

Given Input Data is 714, 388, 99, 923

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

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 923 is 13 x 71

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(714, 388) = 138516

GCD(714, 388) = ( 714 x 388 ) / 138516

GCD(714, 388) = 277032 / 138516

GCD(714, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 714, 388, 99, 923 is 1

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• GCD of 510, 354, 79, 565
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1. What is the GCD of 714, 388, 99, 923?

GCD of 714, 388, 99, 923 is 1

2. Where do I get the detailed procedure to find GCD of 714, 388, 99, 923?

You can find a detailed procedure to find GCD of 714, 388, 99, 923 on our page.

3. How to find GCD of 714, 388, 99, 923 on a calculator?

You can find the GCD of 714, 388, 99, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.