What is 72/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 72/360 Simplified?

Answer: Fraction 72/360 simplified to lowest terms is 1/5 (⅕)

72

/

360

=

1

/

5

1/5 (⅕) is the simplified fraction of 72/360.

Simplifying Fraction 72/360 using GCF

The first way to simplify the fraction 72/360 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [360].

GCF of 72 and 360 is 72

And then divide both the numerator [72] and denominator [360] by the GCF [72].

72 ÷ 72

/

360 ÷ 72

=

1

/

5

Simplifying Fraction 72/360 using Prime Factors

Another method to reduce the fraction 72/360 to its simplest form is to use the Prime Factors of numerator [72] and denominator [360].

Prime Factors of 72: 2,2,2,3,3

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:

2 × 2 × 2 × 3 × 3

/

2 × 2 × 2 × 3 × 3 × 5

=

1

/

5

Simplifying Fraction 72/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] 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.
72 ÷ 2
/
360 ÷ 2
=36
/
180
36 ÷ 2
/
180 ÷ 2
=18
/
90
18 ÷ 2
/
90 ÷ 2
=9
/
45
9 ÷ 3
/
45 ÷ 3
=3
/
15
3 ÷ 3
/
15 ÷ 3
=1
/
5

Fraction Simplification Table

Fraction	Lowest Terms
72/345	24/115
72/346	36/173
72/347	72/347
72/348	6/29
72/349	72/349
72/350	36/175
72/351	8/39
72/352	9/44
72/353	72/353
72/354	12/59
72/355	72/355
72/356	18/89
72/357	24/119
72/358	36/179
72/359	72/359
72/360	1/5 (⅕)
72/361	72/361
72/362	36/181
72/363	24/121
72/364	18/91
72/365	72/365
72/366	12/61
72/367	72/367
72/368	9/46
72/369	8/41
72/370	36/185
72/371	72/371
72/372	6/31
72/373	72/373
72/374	36/187

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 72/360 Simplified? (The answer is: 1/5 (⅕)). Enter the fraction (numerator and denominator) (e.g. '72/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 72/360) 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).

72/360 Simplified