What is 255/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 255/360 Simplified?

Answer: Fraction 255/360 simplified to lowest terms is 17/24

255

/

360

=

17

/

24

17/24 is the simplified fraction of 255/360.

Simplifying Fraction 255/360 using GCF

The first way to simplify the fraction 255/360 is to use the Greatest Common Factor (GCF) of our numerator [255] and denominator [360].

GCF of 255 and 360 is 15

And then divide both the numerator [255] and denominator [360] by the GCF [15].

255 ÷ 15

/

360 ÷ 15

=

17

/

24

Simplifying Fraction 255/360 using Prime Factors

Another method to reduce the fraction 255/360 to its simplest form is to use the Prime Factors of numerator [255] and denominator [360].

Prime Factors of 255: 3,5,17

Prime Factors of 360: 2,2,2,3,3,5

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

3 × 5 × 17

/

2 × 2 × 2 × 3 × 3 × 5

=

17

/

24

Simplifying Fraction 255/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [255] and denominator [360] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

255 ÷ 3

/

360 ÷ 3

=

85

/

120

85 ÷ 5

/

120 ÷ 5

=

17

/

24

Fraction Simplification Table

Fraction	Lowest Terms
255/345	17/23
255/346	255/346
255/347	255/347
255/348	85/116
255/349	255/349
255/350	51/70
255/351	85/117
255/352	255/352
255/353	255/353
255/354	85/118
255/355	51/71
255/356	255/356
255/357	5/7
255/358	255/358
255/359	255/359
255/360	17/24
255/361	255/361
255/362	255/362
255/363	85/121
255/364	255/364
255/365	51/73
255/366	85/122
255/367	255/367
255/368	255/368
255/369	85/123
255/370	51/74
255/371	255/371
255/372	85/124
255/373	255/373
255/374	15/22

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 255/360 Simplified? (The answer is: 17/24). Enter the fraction (numerator and denominator) (e.g. '255/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 255/360) 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).

255/360 Simplified