GCD of 313, 792, 99, 284 Calculator

Given Input numbers are 313, 792, 99, 284

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 313, 792, 99, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 792, 99, 284 is 1.

Therefore, GCD of numbers 313, 792, 99, 284 is 1

Given Input Data is 313, 792, 99, 284

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

Prime Factorization of 313 is 313

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 284 is 2 x 2 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(313, 792) = 247896

GCD(313, 792) = ( 313 x 792 ) / 247896

GCD(313, 792) = 247896 / 247896

GCD(313, 792) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 313, 792, 99, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 855, 88, 864
• GCD of 821, 313, 99, 527
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• GCD of 767, 382, 21, 482
• GCD of 814, 400, 65, 514

1. What is the GCD of 313, 792, 99, 284?

GCD of 313, 792, 99, 284 is 1

2. Where do I get the detailed procedure to find GCD of 313, 792, 99, 284?

You can find a detailed procedure to find GCD of 313, 792, 99, 284 on our page.

3. How to find GCD of 313, 792, 99, 284 on a calculator?

You can find the GCD of 313, 792, 99, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.