Simplify 66/264 to Lowest Terms
66/264 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 66/264 using Greatest Common Divisor (GCD = 66).
Exact Answer
66/264 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 66/264 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 66:
• Factors of 264:
• Factors of 66:
1, 2, 3, 6, 11, 22, 33, 66• Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD(66, 264) = 66
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 66. Divide both the numerator (66) and denominator (264) by 66.
66 ÷ 66/264 ÷ 66 = 1/4
Visual Representation
The diagram below illustrates Simplify 66/264 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 66/264 in simplest form?
66/264 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 66 and 264?
The Greatest Common Divisor (GCD) of 66 and 264 is 66.
What are equivalent fractions to 66/264?
Equivalent fractions to 66/264 include 2/8, 3/12, and 4/16.