GCD of 729, 226, 920, 143 Calculator

Given Input numbers are 729, 226, 920, 143

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 729, 226, 920, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 226, 920, 143 is 1.

Therefore, GCD of numbers 729, 226, 920, 143 is 1

Given Input Data is 729, 226, 920, 143

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 226 is 2 x 113

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 143 is 11 x 13

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, 226) = 164754

GCD(729, 226) = ( 729 x 226 ) / 164754

GCD(729, 226) = 164754 / 164754

GCD(729, 226) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 729, 226, 920, 143 is 1

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• GCD of 216, 349, 789, 983
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• GCD of 489, 202, 141, 561

1. What is the GCD of 729, 226, 920, 143?

GCD of 729, 226, 920, 143 is 1

2. Where do I get the detailed procedure to find GCD of 729, 226, 920, 143?

You can find a detailed procedure to find GCD of 729, 226, 920, 143 on our page.

3. How to find GCD of 729, 226, 920, 143 on a calculator?

You can find the GCD of 729, 226, 920, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.