GCD of 282, 699, 799, 269 Calculator

Given Input numbers are 282, 699, 799, 269

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 282, 699, 799, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 699, 799, 269 is 1.

Therefore, GCD of numbers 282, 699, 799, 269 is 1

Given Input Data is 282, 699, 799, 269

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 699 is 3 x 233

Prime Factorization of 799 is 17 x 47

Prime Factorization of 269 is 269

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(282, 699) = 65706

GCD(282, 699) = ( 282 x 699 ) / 65706

GCD(282, 699) = 197118 / 65706

GCD(282, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 799

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

LCM(3, 799) = 2397

GCD(3, 799) = ( 3 x 799 ) / 2397

GCD(3, 799) = 2397 / 2397

GCD(3, 799) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 282, 699, 799, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 352, 345, 301
• GCD of 685, 962, 359, 210
• GCD of 499, 993, 387, 339
• GCD of 121, 197, 963, 139
• GCD of 379, 248, 385, 660

1. What is the GCD of 282, 699, 799, 269?

GCD of 282, 699, 799, 269 is 1

2. Where do I get the detailed procedure to find GCD of 282, 699, 799, 269?

You can find a detailed procedure to find GCD of 282, 699, 799, 269 on our page.

3. How to find GCD of 282, 699, 799, 269 on a calculator?

You can find the GCD of 282, 699, 799, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.