Simplify 330/704 to Lowest Terms
330/704 simplified to its lowest terms is 15/32 (or 0.46875 in decimal). See how to reduce 330/704 using Greatest Common Divisor (GCD = 22).
Exact Answer
330/704 = 15/32
Simplified Fraction
15/32
Mixed Number
Proper (15/32)
Decimal Value
0.46875
Percentage
46.875%
Step-by-Step Solution: 330/704 = 15/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 704:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD(330, 704) = 22
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 22. Divide both the numerator (330) and denominator (704) by 22.
330 ÷ 22/704 ÷ 22 = 15/32
Visual Representation
The diagram below illustrates Simplify 330/704 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/32 |
| Mixed Number Form | 15/32 |
| Decimal Form | 0.46875 |
| Percentage | 46.875% |
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Frequently Asked Questions
What is 330/704 in simplest form?
330/704 simplified to lowest terms is 15/32.
What is the GCD (GCF) of 330 and 704?
The Greatest Common Divisor (GCD) of 330 and 704 is 22.
What are equivalent fractions to 330/704?
Equivalent fractions to 330/704 include 30/64, 45/96, and 60/128.