Simplify 330/1344 to Lowest Terms
330/1344 simplified to its lowest terms is 55/224 (or 0.245536 in decimal). See how to reduce 330/1344 using Greatest Common Divisor (GCD = 6).
Exact Answer
330/1344 = 55/224
Simplified Fraction
55/224
Mixed Number
Proper (55/224)
Decimal Value
0.245536
Percentage
24.5536%
Step-by-Step Solution: 330/1344 = 55/224
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 1344:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 1344:
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
GCD(330, 1344) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (330) and denominator (1344) by 6.
330 ÷ 6/1344 ÷ 6 = 55/224
Visual Representation
The diagram below illustrates Simplify 330/1344 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 55/224 |
| Mixed Number Form | 55/224 |
| Decimal Form | 0.245536 |
| Percentage | 24.5536% |
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Frequently Asked Questions
What is 330/1344 in simplest form?
330/1344 simplified to lowest terms is 55/224.
What is the GCD (GCF) of 330 and 1344?
The Greatest Common Divisor (GCD) of 330 and 1344 is 6.
What are equivalent fractions to 330/1344?
Equivalent fractions to 330/1344 include 110/448, 165/672, and 220/896.