What is 729/512 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 729/512 Simplified?

Answer: Fraction 729/512 simplified to lowest terms is 729/512

729

/

512

The fraction 729/512 is already in the simplest form, so it isn't possible to reduce it any further - numerator 729 and denominator 512 have no common factors other than 1 (one)

Since the numerator [729] is greater than the denominator [512] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

729

/

512

=1

217

/

512

Simplifying Fraction 729/512 using GCF

The first way to simplify the fraction 729/512 is to use the Greatest Common Factor (GCF) of our numerator [729] and denominator [512].

GCF of 729 and 512 is 1

And then divide both the numerator [729] and denominator [512] by the GCF [1].

729 ÷ 1

/

512 ÷ 1

=

729

/

512

Simplifying Fraction 729/512 using Prime Factors

Another method to reduce the fraction 729/512 to its simplest form is to use the Prime Factors of numerator [729] and denominator [512].

Prime Factors of 729: 3,3,3,3,3,3

Prime Factors of 512: 2,2,2,2,2,2,2,2,2

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 3 × 3 × 3 × 3 × 3

/

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

=

729

/

512

Simplifying Fraction 729/512 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [729] and denominator [512] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

In our case (729/512) there is no possible numbers to divide our numerator and denominator.

Fraction Simplification Table

Fraction	Lowest Terms
729/497	729/497
729/498	243/166
729/499	729/499
729/500	729/500
729/501	243/167
729/502	729/502
729/503	729/503
729/504	81/56
729/505	729/505
729/506	729/506
729/507	243/169
729/508	729/508
729/509	729/509
729/510	243/170
729/511	729/511
729/512	729/512
729/513	27/19
729/514	729/514
729/515	729/515
729/516	243/172
729/517	729/517
729/518	729/518
729/519	243/173
729/520	729/520
729/521	729/521
729/522	81/58
729/523	729/523
729/524	729/524
729/525	243/175
729/526	729/526

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 729/512 Simplified? (The answer is: 729/512). Enter the fraction (numerator and denominator) (e.g. '729/512') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 729/512) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

729/512 Simplified