Simplify 72/432 to Lowest Terms
72/432 simplified to its lowest terms is 1/6 (or 0.166667 in decimal). See how to reduce 72/432 using Greatest Common Divisor (GCD = 72).
Exact Answer
72/432 = 1/6
Simplified Fraction
1/6
Mixed Number
Proper (1/6)
Decimal Value
0.166667
Percentage
16.6667%
Step-by-Step Solution: 72/432 = 1/6
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 432:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72
GCD(72, 432) = 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 (432) by 72.
72 ÷ 72/432 ÷ 72 = 1/6
Visual Representation
The diagram below illustrates Simplify 72/432 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/6 |
| Mixed Number Form | 1/6 |
| Decimal Form | 0.166667 |
| Percentage | 16.6667% |
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Frequently Asked Questions
What is 72/432 in simplest form?
72/432 simplified to lowest terms is 1/6.
What is the GCD (GCF) of 72 and 432?
The Greatest Common Divisor (GCD) of 72 and 432 is 72.
What are equivalent fractions to 72/432?
Equivalent fractions to 72/432 include 2/12, 3/18, and 4/24.