729/512 Simplified

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.

See Also

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).

Fraction Simplification Table

FractionLowest Terms
729/497729/497
729/498243/166
729/499729/499
729/500729/500
729/501243/167
729/502729/502
729/503729/503
729/50481/56
729/505729/505
729/506729/506
729/507243/169
729/508729/508
729/509729/509
729/510243/170
729/511729/511
729/512
729/51327/19
729/514729/514
729/515729/515
729/516243/172
729/517729/517
729/518729/518
729/519243/173
729/520729/520
729/521729/521
729/52281/58
729/523729/523
729/524729/524
729/525243/175
729/526729/526

FAQ

What is 729/512 Simplified?

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