What is 78/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 78/360 Simplified?

Answer: Fraction 78/360 simplified to lowest terms is 13/60

78

/

360

=

13

/

60

13/60 is the simplified fraction of 78/360.

Simplifying Fraction 78/360 using GCF

The first way to simplify the fraction 78/360 is to use the Greatest Common Factor (GCF) of our numerator [78] and denominator [360].

GCF of 78 and 360 is 6

And then divide both the numerator [78] and denominator [360] by the GCF [6].

78 ÷ 6

/

360 ÷ 6

=

13

/

60

Simplifying Fraction 78/360 using Prime Factors

Another method to reduce the fraction 78/360 to its simplest form is to use the Prime Factors of numerator [78] and denominator [360].

Prime Factors of 78: 2,3,13

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 × 3 × 13

/

2 × 2 × 2 × 3 × 3 × 5

=

13

/

60

Simplifying Fraction 78/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [78] 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.

78 ÷ 2

/

360 ÷ 2

=

39

/

180

39 ÷ 3

/

180 ÷ 3

=

13

/

60

Fraction Simplification Table

Fraction	Lowest Terms
78/345	26/115
78/346	39/173
78/347	78/347
78/348	13/58
78/349	78/349
78/350	39/175
78/351	2/9
78/352	39/176
78/353	78/353
78/354	13/59
78/355	78/355
78/356	39/178
78/357	26/119
78/358	39/179
78/359	78/359
78/360	13/60
78/361	78/361
78/362	39/181
78/363	26/121
78/364	3/14
78/365	78/365
78/366	13/61
78/367	78/367
78/368	39/184
78/369	26/123
78/370	39/185
78/371	78/371
78/372	13/62
78/373	78/373
78/374	39/187

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 78/360 Simplified? (The answer is: 13/60). Enter the fraction (numerator and denominator) (e.g. '78/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 78/360) 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).

78/360 Simplified