Simplify 74/264 to Lowest Terms
74/264 simplified to its lowest terms is 37/132 (or 0.280303 in decimal). See how to reduce 74/264 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/264 = 37/132
Simplified Fraction
37/132
Mixed Number
Proper (37/132)
Decimal Value
0.280303
Percentage
28.0303%
Step-by-Step Solution: 74/264 = 37/132
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 264:
• Factors of 74:
1, 2, 37, 74• Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD(74, 264) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (264) by 2.
74 ÷ 2/264 ÷ 2 = 37/132
Visual Representation
The diagram below illustrates Simplify 74/264 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/132 |
| Mixed Number Form | 37/132 |
| Decimal Form | 0.280303 |
| Percentage | 28.0303% |
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Frequently Asked Questions
What is 74/264 in simplest form?
74/264 simplified to lowest terms is 37/132.
What is the GCD (GCF) of 74 and 264?
The Greatest Common Divisor (GCD) of 74 and 264 is 2.
What are equivalent fractions to 74/264?
Equivalent fractions to 74/264 include 74/264, 111/396, and 148/528.