GCD of 999, 297, 87, 784 Calculator

Given Input numbers are 999, 297, 87, 784

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 999, 297, 87, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 297, 87, 784 is 1.

Therefore, GCD of numbers 999, 297, 87, 784 is 1

Given Input Data is 999, 297, 87, 784

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(999, 297) = 10989

GCD(999, 297) = ( 999 x 297 ) / 10989

GCD(999, 297) = 296703 / 10989

GCD(999, 297) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 87

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

LCM(27, 87) = 783

GCD(27, 87) = ( 27 x 87 ) / 783

GCD(27, 87) = 2349 / 783

GCD(27, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 784

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

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

GCD(3, 784) = 2352 / 2352

GCD(3, 784) = 1

GCD of 999, 297, 87, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 455, 92, 148
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• GCD of 304, 187, 66, 585
• GCD of 458, 440, 87, 177
• GCD of 198, 871, 25, 101

1. What is the GCD of 999, 297, 87, 784?

GCD of 999, 297, 87, 784 is 1

2. Where do I get the detailed procedure to find GCD of 999, 297, 87, 784?

You can find a detailed procedure to find GCD of 999, 297, 87, 784 on our page.

3. How to find GCD of 999, 297, 87, 784 on a calculator?

You can find the GCD of 999, 297, 87, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.