512/64 Simplified

What is 512/64 Simplified?

Answer: Fraction 512/64 simplified to lowest terms is 8/1
512
/
64
=
8
/
1

8/1 is the simplified fraction of 512/64.

Since the numerator [512] is greater than the denominator [64] and numerator is a multiple of the denominator, so we can convert it into a whole number:

8
/
1
=8

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

See Also

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).

Fraction Simplification Table

FractionLowest Terms
512/49512/49
512/50256/25
512/51512/51
512/52128/13
512/53512/53
512/54256/27
512/55512/55
512/5664/7
512/57512/57
512/58256/29
512/59512/59
512/60128/15
512/61512/61
512/62256/31
512/63512/63
512/65512/65
512/66256/33
512/67512/67
512/68128/17
512/69512/69
512/70256/35
512/71512/71
512/7264/9
512/73512/73
512/74256/37
512/75512/75
512/76128/19
512/77512/77
512/78256/39

FAQ

What is 512/64 Simplified?

Fraction 512/64 simplified to lowest terms is 8/1