Simplify 264/512 to Lowest Terms
264/512 simplified to its lowest terms is 33/64 (or 0.515625 in decimal). See how to reduce 264/512 using Greatest Common Divisor (GCD = 8).
Exact Answer
264/512 = 33/64
Simplified Fraction
33/64
Mixed Number
Proper (33/64)
Decimal Value
0.515625
Percentage
51.5625%
Step-by-Step Solution: 264/512 = 33/64
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 264:
โข Factors of 512:
โข Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264โข Factors of 512:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD(264, 512) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (264) and denominator (512) by 8.
264 รท 8/512 รท 8 = 33/64
Visual Representation
The diagram below illustrates Simplify 264/512 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 33/64 |
| Mixed Number Form | 33/64 |
| Decimal Form | 0.515625 |
| Percentage | 51.5625% |
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Frequently Asked Questions
What is 264/512 in simplest form?
264/512 simplified to lowest terms is 33/64.
What is the GCD (GCF) of 264 and 512?
The Greatest Common Divisor (GCD) of 264 and 512 is 8.
What are equivalent fractions to 264/512?
Equivalent fractions to 264/512 include 66/128, 99/192, and 132/256.