GCD of 119, 866, 729, 224 Calculator

Given Input numbers are 119, 866, 729, 224

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 866

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

1, 2, 433, 866

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 119, 866, 729, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 866, 729, 224 is 1.

Therefore, GCD of numbers 119, 866, 729, 224 is 1

Given Input Data is 119, 866, 729, 224

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 866 is 2 x 433

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(119, 866) = 103054

GCD(119, 866) = ( 119 x 866 ) / 103054

GCD(119, 866) = 103054 / 103054

GCD(119, 866) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 119, 866, 729, 224 is 1

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1. What is the GCD of 119, 866, 729, 224?

GCD of 119, 866, 729, 224 is 1

2. Where do I get the detailed procedure to find GCD of 119, 866, 729, 224?

You can find a detailed procedure to find GCD of 119, 866, 729, 224 on our page.

3. How to find GCD of 119, 866, 729, 224 on a calculator?

You can find the GCD of 119, 866, 729, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.