GCD of 199, 289, 951, 866 Calculator

Given Input numbers are 199, 289, 951, 866

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 199, 289, 951, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 289, 951, 866 is 1.

Therefore, GCD of numbers 199, 289, 951, 866 is 1

Given Input Data is 199, 289, 951, 866

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

Prime Factorization of 199 is 199

Prime Factorization of 289 is 17 x 17

Prime Factorization of 951 is 3 x 317

Prime Factorization of 866 is 2 x 433

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(199, 289) = 57511

GCD(199, 289) = ( 199 x 289 ) / 57511

GCD(199, 289) = 57511 / 57511

GCD(199, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

GCD of 199, 289, 951, 866 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 900, 825, 941
• GCD of 768, 245, 844, 936
• GCD of 561, 976, 475, 980
• GCD of 422, 160, 558, 379
• GCD of 714, 877, 604, 383

1. What is the GCD of 199, 289, 951, 866?

GCD of 199, 289, 951, 866 is 1

2. Where do I get the detailed procedure to find GCD of 199, 289, 951, 866?

You can find a detailed procedure to find GCD of 199, 289, 951, 866 on our page.

3. How to find GCD of 199, 289, 951, 866 on a calculator?

You can find the GCD of 199, 289, 951, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.