Simplify 338/304 to Lowest Terms
338/304 simplified to its lowest terms is 169/152 (or 1.111842 in decimal). See how to reduce 338/304 using Greatest Common Divisor (GCD = 2).
Exact Answer
338/304 = 169/152
Simplified Fraction
169/152
Mixed Number
1 17/152
Decimal Value
1.111842
Percentage
111.1842%
Step-by-Step Solution: 338/304 = 169/152
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 338:
• Factors of 304:
• Factors of 338:
1, 2, 13, 26, 169, 338• Factors of 304:
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD(338, 304) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (338) and denominator (304) by 2.
338 ÷ 2/304 ÷ 2 = 169/152
Step 3
Convert Improper Fraction to a Mixed Number
Because 169 is larger than 152, 169/152 can also be written as the mixed number 1 17/152.
169/152 = 117/152
Visual Representation
The diagram below illustrates Simplify 338/304 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 169/152 |
| Mixed Number Form | 1 17/152 |
| Decimal Form | 1.111842 |
| Percentage | 111.1842% |
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Frequently Asked Questions
What is 338/304 in simplest form?
338/304 simplified to lowest terms is 169/152.
What is the GCD (GCF) of 338 and 304?
The Greatest Common Divisor (GCD) of 338 and 304 is 2.
What are equivalent fractions to 338/304?
Equivalent fractions to 338/304 include 338/304, 507/456, and 676/608.