What is 512/64 Simplified to Simplest Form?

Simplifying Fraction 512/64 using GCF

The first way to simplify the fraction 512/64 is to use the Greatest Common Factor (GCF) of our numerator [512] and denominator [64].

GCF of 512 and 64 is 64

And then divide both the numerator [512] and denominator [64] by the GCF [64].

512 ÷ 64

/

64 ÷ 64

=

8

/

1

Simplifying Fraction 512/64 using Prime Factors

Another method to reduce the fraction 512/64 to its simplest form is to use the Prime Factors of numerator [512] and denominator [64].

Prime Factors of 512: 2,2,2,2,2,2,2,2,2

Prime Factors of 64: 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:

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

/

2 × 2 × 2 × 2 × 2 × 2

=

8

/

1

Simplifying Fraction 512/64 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [512] and denominator [64] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.
512 ÷ 2
/
64 ÷ 2
=256
/
32
256 ÷ 2
/
32 ÷ 2
=128
/
16
128 ÷ 2
/
16 ÷ 2
=64
/
8
64 ÷ 2
/
8 ÷ 2
=32
/
4
32 ÷ 2
/
4 ÷ 2
=16
/
2
16 ÷ 2
/
2 ÷ 2
=8
/
1

Fraction Simplification Table

Fraction	Lowest Terms
512/49	512/49
512/50	256/25
512/51	512/51
512/52	128/13
512/53	512/53
512/54	256/27
512/55	512/55
512/56	64/7
512/57	512/57
512/58	256/29
512/59	512/59
512/60	128/15
512/61	512/61
512/62	256/31
512/63	512/63
512/64	8/1
512/65	512/65
512/66	256/33
512/67	512/67
512/68	128/17
512/69	512/69
512/70	256/35
512/71	512/71
512/72	64/9
512/73	512/73
512/74	256/37
512/75	512/75
512/76	128/19
512/77	512/77
512/78	256/39

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 512/64 Simplified? (The answer is: 8/1). Enter the fraction (numerator and denominator) (e.g. '512/64') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 512/64) 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).

512/64 Simplified