GCD of 729, 584, 734, 203 Calculator

Given Input numbers are 729, 584, 734, 203

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 729, 584, 734, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 584, 734, 203 is 1.

Therefore, GCD of numbers 729, 584, 734, 203 is 1

Given Input Data is 729, 584, 734, 203

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 584 is 2 x 2 x 2 x 73

Prime Factorization of 734 is 2 x 367

Prime Factorization of 203 is 7 x 29

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, 584) = 425736

GCD(729, 584) = ( 729 x 584 ) / 425736

GCD(729, 584) = 425736 / 425736

GCD(729, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 729, 584, 734, 203 is 1

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1. What is the GCD of 729, 584, 734, 203?

GCD of 729, 584, 734, 203 is 1

2. Where do I get the detailed procedure to find GCD of 729, 584, 734, 203?

You can find a detailed procedure to find GCD of 729, 584, 734, 203 on our page.

3. How to find GCD of 729, 584, 734, 203 on a calculator?

You can find the GCD of 729, 584, 734, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.