Simplify 72/288 to Lowest Terms
72/288 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 72/288 using Greatest Common Divisor (GCD = 72).
Exact Answer
72/288 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 72/288 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 288:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(72, 288) = 72
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 72. Divide both the numerator (72) and denominator (288) by 72.
72 ÷ 72/288 ÷ 72 = 1/4
Visual Representation
The diagram below illustrates Simplify 72/288 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 72/288 in simplest form?
72/288 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 72 and 288?
The Greatest Common Divisor (GCD) of 72 and 288 is 72.
What are equivalent fractions to 72/288?
Equivalent fractions to 72/288 include 2/8, 3/12, and 4/16.