GCD of 729, 800, 286, 186 Calculator

Given Input numbers are 729, 800, 286, 186

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

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 729, 800, 286, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 800, 286, 186 is 1.

Therefore, GCD of numbers 729, 800, 286, 186 is 1

Given Input Data is 729, 800, 286, 186

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

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 186 is 2 x 3 x 31

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(729, 800) = 583200

GCD(729, 800) = ( 729 x 800 ) / 583200

GCD(729, 800) = 583200 / 583200

GCD(729, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 729, 800, 286, 186 is 1

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• GCD of 231, 976, 700, 106
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1. What is the GCD of 729, 800, 286, 186?

GCD of 729, 800, 286, 186 is 1

2. Where do I get the detailed procedure to find GCD of 729, 800, 286, 186?

You can find a detailed procedure to find GCD of 729, 800, 286, 186 on our page.

3. How to find GCD of 729, 800, 286, 186 on a calculator?

You can find the GCD of 729, 800, 286, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.