What is 171/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 171/180 Simplified?

Answer: Fraction 171/180 simplified to lowest terms is 19/20

171

/

180

=

19

/

20

19/20 is the simplified fraction of 171/180.

Simplifying Fraction 171/180 using GCF

The first way to simplify the fraction 171/180 is to use the Greatest Common Factor (GCF) of our numerator [171] and denominator [180].

GCF of 171 and 180 is 9

And then divide both the numerator [171] and denominator [180] by the GCF [9].

171 ÷ 9

/

180 ÷ 9

=

19

/

20

Simplifying Fraction 171/180 using Prime Factors

Another method to reduce the fraction 171/180 to its simplest form is to use the Prime Factors of numerator [171] and denominator [180].

Prime Factors of 171: 3,3,19

Prime Factors of 180: 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 × 3 × 19

/

2 × 2 × 3 × 3 × 5

=

19

/

20

Simplifying Fraction 171/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [171] and denominator [180] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

171 ÷ 3

/

180 ÷ 3

=

57

/

60

57 ÷ 3

/

60 ÷ 3

=

19

/

20

Fraction Simplification Table

Fraction	Lowest Terms
171/165	57/55
171/166	171/166
171/167	171/167
171/168	57/56
171/169	171/169
171/170	171/170
171/171	1/1
171/172	171/172
171/173	171/173
171/174	57/58
171/175	171/175
171/176	171/176
171/177	57/59
171/178	171/178
171/179	171/179
171/180	19/20
171/181	171/181
171/182	171/182
171/183	57/61
171/184	171/184
171/185	171/185
171/186	57/62
171/187	171/187
171/188	171/188
171/189	19/21
171/190	9/10
171/191	171/191
171/192	57/64
171/193	171/193
171/194	171/194

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 171/180 Simplified? (The answer is: 19/20). Enter the fraction (numerator and denominator) (e.g. '171/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 171/180) 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).

171/180 Simplified