Simplify 74/432 to Lowest Terms
74/432 simplified to its lowest terms is 37/216 (or 0.171296 in decimal). See how to reduce 74/432 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/432 = 37/216
Simplified Fraction
37/216
Mixed Number
Proper (37/216)
Decimal Value
0.171296
Percentage
17.1296%
Step-by-Step Solution: 74/432 = 37/216
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 432:
• Factors of 74:
1, 2, 37, 74• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72
GCD(74, 432) = 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 (432) by 2.
74 ÷ 2/432 ÷ 2 = 37/216
Visual Representation
The diagram below illustrates Simplify 74/432 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/216 |
| Mixed Number Form | 37/216 |
| Decimal Form | 0.171296 |
| Percentage | 17.1296% |
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Frequently Asked Questions
What is 74/432 in simplest form?
74/432 simplified to lowest terms is 37/216.
What is the GCD (GCF) of 74 and 432?
The Greatest Common Divisor (GCD) of 74 and 432 is 2.
What are equivalent fractions to 74/432?
Equivalent fractions to 74/432 include 74/432, 111/648, and 148/864.