Simplify 216/576 to Lowest Terms
216/576 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 216/576 using Greatest Common Divisor (GCD = 72).
Exact Answer
216/576 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 216/576 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 216:
• Factors of 576:
• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216• Factors of 576:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
GCD(216, 576) = 72
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 72. Divide both the numerator (216) and denominator (576) by 72.
216 ÷ 72/576 ÷ 72 = 3/8
Visual Representation
The diagram below illustrates Simplify 216/576 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 216/576 in simplest form?
216/576 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 216 and 576?
The Greatest Common Divisor (GCD) of 216 and 576 is 72.
What are equivalent fractions to 216/576?
Equivalent fractions to 216/576 include 6/16, 9/24, and 12/32.